Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: The planet Xavier follows an elliptical orbit with its sun at one focus.  At its nearest point (perigee), it is 2 astronomical units (AU) from the sun, while at its furthest point (apogee) it is 12 AU away.  When Xavier is midway along its orbit, as shown, how far is it from the sun, in AU?

[asy]
unitsize(1 cm);

path ell = xscale(2)*arc((0,0),1,-85,265);

filldraw(Circle((0,-1),0.1));
filldraw(Circle((-1.4,0),0.2),yellow);
draw(ell,Arrow(6));
[/asy]
user