My process was the exact opposite. I did my two technical interviews back-to-back on a friday afternoon (4-6pm EST, so late in the day), and had been accepted to the applicant pool within the hour, with a host matching interview being setup 30 minutes after that. I interviewed Monday with my host and his manager, and was told that they were willing to host me and were going to start the approval process for an offer. I had the official offer by the end of the week.

So in under a week, I went from initial interview, to official offer. This is by _no_ means typical (and my recruiter even commented on how unbelievably fast it was), but it _does_ happen.