Ok, I am relatively new here so bear with me. Anyway, I was handling some paperwork for school, and on my way getting onto the elevator, I saw a gorgeous girl. Normally, I'd tell myself not to approach or give myself the excuse of not approaching. At this point I didn't. I held the elevator for her, asked her if she was going to the 2nd floor, which she replied "Yes, please". I really had to run, so I didn't think to really approach in a 10 second elevator ride.
After I deal with all my paperwork, I bought myself a quick lunch and was eating right by the bus stop. She walked right past me and started to wait for the bus. At this point, I was not going to let myself not approach. I walk over to her, maintain a decent amount of distance and wave and smile. She reciprocates and says "Hello again." I walked in, shook her hand, said my name, and she reciprocated.
I figured this was going well. During our conversation she actually re-opened me. That is, she kept the conversation going without me having to think of subject matter, or forcing the matter at all. It felt like a genuine conversation. There were times where I asked open-ended questions so we could keep talking.
We got on the bus because we were headed in the same general direction, and I didn't sit right next to her. I was still talking to her and I had asked "You mind if I sit next to you?" and she was like "Sure" with an enthused inflection.
A little bit before she reached her stop(hers was before mine) I gave her my number because, well, I don't know why. This is where I believe I failed. We were discussing our common interest for bands, how she likes to go to shows for fun, how I play guitar and was in a band(which was something that really caught her attention, etc. I told her something like "Hey, since you know about shows you should hit me up and we'll go." I gave her my number and she wrote it in her phone, or so I'd hope.
As she got up, she said without me saying anything "It was a pleasure talking to you, I'll give you a call right now so you can get my number. Again, my name is (spells out her unique name letter for letter)." I told her to "Take care and have a good one." and that was it.
Now, I believe it's great that I approached a girl who I consider to be a 9 or 10 with no problem. I wasn't nervous, kept the conversation going, got her to laugh, and I approached! But I don't get brownie points for approach, so if possible, I'd like other member's suggestions on where I went wrong and what I should fix.