How do you open up a shy girl

[FGators]

I really am not attracted to girls that are overly talkative or basically obnoxious in my eyes. Therefore I am attracted to girls that are more on the quiet side yet it's so damn hard to get most of them into a legit conversation. I much prefer them to girls that will blab on about crap you don't feel like hearing for an entire night but it seems like I'm actually working hard as hell with these quiet girls.

How do you handle these spots? I feel like I'm dominating conversation, which is a really bad thing, but it seems like if I didn't there would be no conversation at all.

And don't ask me why I prefer mutes.