User blog comment:DavesContribution/Random misc. quest to return to Esbern after killing a dragon/@comment-77.218.249.179-20151009145444

Go back to the throat of the world, talk to parthanax let him teach you one of the shouts. After that, kill him. After taking his hp down to 0% it will look like the dragon is bugged but he will eventually fly up and land on the mountain. After killing him return to Esbern. And your done :) Hope this helped.