Having just heard the words Scatha said to him, Thorin rolled his eyes and gnashed his teeth: "Do you not know what this means? If the dragon slayers left this place long ago, they may have trekked over half of Skyrim by now!" he whispered. He had an ill temper and the Argonian's ambiguous speech was definitely something that sparked it.
"Patience, Nord." Lugdush responded calmly: "We can still catch up with them, if we learn where they are heading. We need to make sure that we have sufficient resources, so that we can supply ourselves well enough for a trip, regardless of the length of the journey."
Thorin then managed to grab hold of his temper and think for a while. He had all the resources required for a full preparation for the travelling. He had more than enough gold to buy horses for Scatha and Lugdush, and enough space for them to sleep inside his house in Whiterun, since he was the only one living there. He made a proposal: "My house is in Whiterun. You can meet me at the Bannered Mare in seven days, at 7 o' clock in the night. We can make preparations for a travel there. For now, we can only wait and see if anyone else who has heard of the dragon slayers arrives in  Vilemyr today. It is always better to have more people by our side."