Yes, and you both succeeded. The ring was destroyed and Middle Earth continued into the Fourth Age.

[He smiles, ever so slightly at the question. He wished he could speak through experience of seeing him off but alas, all he knew were the words that passed across the land to his ears.]

You sailed West to Valinor. I've not seen you in many a year. Gimli and I were to sail there ourselves, just before I was brought to this forsaken place.