Thrawking is similar to speedwalking. However, when you thrawk, you have to move both arms and legs at top speeds to catch up to the wicked hot guy that is in front of you so you can casually catch up to him. It's a combination of thrusting and walking.
When Amanda wanted to meet me at work and go to lunch, she thrawked it over to the office because she knew that Scottie to Hottie would be there....and she casually "forgot her notebook in th drawer". This is the definition for thrawking.