<human>: Here's the story. I'm very new to this whole how dating works thing works so work with me here. She's (Let's call her "Z") 16 and I'm 19. 

We met through a mutual friend and went on a first date. We really hit it off and I kept talking to her via Skype and text messaging. We went on a second date only a few days after the first and that also went well. 

Right now, I'm browsing Reddit and thinking (much like how I have been for this whole week), "when do I ask Z to be my girlfriend?". It seems too soon, but at the same time, whenever I'm not around her or talking to her or texting her, I'm insanely missing her. I feel like maybe because she's the first time I've actually every dated it's making me feel this way. Oh and to give a time frame, it's been almost a week. I think I might be getting overly attached to be honest. 

There is one problem, however. She lives in a different city (about a 20 minute drive) and while I have a drivers license, I have yet to obtain a car and or insurance. I think that is also adding to me being too quickly attached. Still, we are making the most of it. 

Anyhow, back to the point of all this. Would I be making a mistake in asking her to be my girlfriend after such a short amount of time? Should I be taking it slower and if so, how would I go about making sure I'm not clingy?

Could you distill the essence of the text into 1-3 sentences?
<bot>: Met girl. Lives in different city. We really connected after two dates. Only known for less than week. When is too soon to ask her to be my girlfriend?