What an excellent question! And one I think many people have struggled with in the course of their life.
Here is my answer - and of course I have to base it on my experience and how I approach this question - I agree with Ayn Rand that you shouldn’t hurry. Depending on your age, and more importantly how long you have felt free and confident in living for yourself and not others - this can take quite a bit of time. And also, keep in mind that your purpose in the short term, may change over time.
Career-wise, my “purpose” had for many years to be the best recruiter I could be - to work with different companies, learn new industries, and be the best I could possibly be at finding hard to find technology professionals to fill positions. I enjoyed this very much. A second purpose was to make money to help my husband support our family. Of course, since I had my first child, a very important purpose I have had is to teach my kids to be “the most they could be”. But how I did that and why changed drastically once I started to understand Objectivist.
I am guilty of waiting for a purpose to find me, both career wise and family wise. At least for the first 30 years of my life. However, since understanding - wait, my purpose doesn’t have to be dependent on my family, or some religion, or some altruistic purpose, my ideas have changed. I loved that career, but it wasn’t what I wanted to be “when I grew up”. I wanted to be a writer, or a musician, and never did anything productive about it to reach those goals.
For the past two years, I have stayed in the same sort of role (recruiting/HR) because that is what I was pretty good at, and well, I needed to support my family. However, I have slowly been working towards getting out of that career and figuring out how to do so, and work towards writing - even if that “purpose” would only end up being a hobby. My circumstances have also changed quicker, in that right now I am “out” of recruiting, as I was laid off two months ago.
So what have I been doing? Well, we pulled on kid out of school to home school - and that is a side purpose now. I am full into it, and have found that I am getting better at writing because of all lot of extra work I need to do in order to write up lesson plans, create some of my own curriculum for her, etc. So my main focus is on my short term purpose - that of teaching my kids to think for themselves, teach them (while keeping in mind the whole hiearchy of learning, etc.), and do everything I can to write on the side.
Where will that lead me? Well, I hope to pull out the youngest for next year or the year after to home school her as well. This will still be short term - I very much keep in mind Ayn Rand’s very astute comments she made in that Playboy interview, that a mother that is focusing on raising her kids needs to find something else to do to support herself when that job is over. I am working on a plan (one that will take several years, I know!) where I can further my education, either through formal college, or just self learning so that I can be a decent writer, and work towards writing a book, or at least writing high quality material that others will enjoy reading, even if it ends up just being a blog. I have several ideas I need to flush out. I love to write, that is my passion, though I am not very good (or very productive) at it right now.
First you need to understand your values to figure out what is important to you in life. And you also have to “live life” a bit to discover what other things out there that may interest you and drive you. Sometimes that is not always easy to find if you are just in a routine that is not allowing you to go out and explore more.
My advice, and probably the only worthwhile thing I can offer you, is to try stepping outside your comfort zone and explore life more fully. Case in point - I would never have known two of my kids would have a passion for fencing if they never tried it.
There is one friend from our local Objectivist group that I have noticed had been investigating several different types of Meetup.com groups in the area. I applaud this - he is truly stepping out of his comfort zone and trying new things. It is impressive. Will that enhance whatever passion he has, or help him find a new one? I don’t know - but I do know that he is doing the work to explore, and that is commendable.