Here are some helpful videos on tire valve extenders (a/k/a "dual-tire inflators").
This first one reviews or at least demonstrates the Wheel Masters kit #8004. That's not a size that would fit most RVs, but the kits and materials are basically the same except for size. (The kit I will be using is the 8001, however due to the angle of the valve stem on the outside tire which appears to be 135 degrees, I will be using the 8001-135.)
This one shows the installation process for a 16" wheel, using a different kit number. This also uses the hose clip that goes onto the edge of the rim. (Different installation parts are used for wheel covers that involve drilling two small holes into the cover and attaching the hose bracket with two pop-rivets.):
Thanks to Tireman9 for good advice on the right parts to buy!