Valthor considers pride in one's own abilities paramount to a champion.
'Your skill in battle cannot be denied, ${PLAYER}.
'The difference between a good champion and a great one, however, is their renown. The peoples of Middle-earth need to know that there are warriors in the world capable of incredible martial prowess, risking their lives to fight the Enemy.
'For your second task, I want you to travel to Thorin's Hall. Ascend the steps toward Dwalin's throne and blow this horn, then proclaim your prowess as a champion to all gathered in the halls of the dwarves!'
Dwalin's throne is in Thorin's Hall, far to the west of Moria.
Valthor has instructed you to go forth and boast of your great deeds before the throne of Dwalin.
Thrymur is near Dwalin's throne in Thorin's Hall.
Speak with him now that you have proclaimed your deeds to all assembled in Thorin's Hall.
Valthor is at the Shadowed Refuge in the Foundations of Stone in Moria, far to the east of Thorin's Hall.
Now that you have boasted to the dwarves, return to Valthor.