please help me create a problem that involves two stages of base conversion:

First, choose a number in any base $($e$.$g$.,$ base $2,$ base $5,$ binary, octal, hexadecimal, etc$)$ and convert it to base $10.$Second, take the resulting base $10$ number and convert it to a different base of your choice $($e$.$g$.,$ base $2,$ base $5,$ binary, octal, hexadecimal, etc$).$

Step $2$:$$ After creating your problem, solve it step by step.$$

The conversion from your chosen base to base $10,$ showing each step of the calculation.The conversion from base $10$ to the final base of your choice, using the division and remainder method.Clear explanations for each step, along with the final answer presented in the correct base.

Step $3$: $$Write a brief reflection on your process of solving the problem. What did you learn about the relationships between different number bases? Were there any challenges you faced during the conversion process, and how did you overcome them?