Don't dispair....
I know of people that put off the second interview for whatever reason. They understand that you can't just drop everything with 16 hours notice! A friend of mine had 7 weeks between interviews.
I myself put off a groundschool after I was accepted because I didn't want to leave my employer in the lurch. Impulse (or Air Crews as it was known then) appreciated that as it showed I wouldn't do the same to them.
So don't fret. A lot of the new guys I spoke to were called with minimal notice and the company understands we have lives. May I suggest calling/emailing them in a week and half if they don't get in touch sooner. They are very approachable.
Well done people