How do you transition from a friendship to a romance?

Theres this girl at school who I have been friends with for some time. We met while I was dating this other girl and were friends during the time. After I broke up with my last gf I started to get really interested. We are pretty good friends. We have a lot of the same interests and I like how she has a really eclectic personality. We always have good conversations about social issues and our place in the world. I told her I liked her and she said she only felt friendship towards me. Things were awkward for a while but have now returned to normal. Im generally content but a lot of times this feels like it really has the potential to be a good relationship. Assuming it is possible, how do I go about this?