Iliud suggests you begin your search for the airship at Fallgourd Float, where it may have last been seen.
This quest is available if you have completed the quest Eyes on Me, and have reached level 36.
Starting the Quest
Talk to Iliud in the Church of Adama Landama northwest of Camp Drybone in Eastern Thanalan to begin the quest.
Speak with Aethelmaer in Fallgourd Float
Go to Fallgourd Float and go west from the Aetheryte. Go into the building to the north and talk to Aethelmaer.
Speak with Vortefaurt
Go west and talk to Vortefaurt to complete the quest.
Next Main Scenario Quest
After you complete the quest, talk to Vortefaurt to accept the next quest: Cold Reception.