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: In the diagram below, $WXYZ$ is a trapezoid such that $\overline{WX}\parallel \overline{ZY}$ and $\overline{WY}\perp\overline{ZY}$.  If $YZ = 12$, $\tan Z = 1.5$, and $\tan X = 2$, then what is $XY$?

[asy]

pair WW,X,Y,Z;

Z = (0,0);

Y = (12,0);

WW = (12,18);

X= (18,18);

draw(WW--X--Y--Z--WW);

label("$W$",WW,N);

label("$X$",X,N);

label("$Y$",Y,S);

label("$Z$",Z,S);

[/asy]
user