Finding the Third Proportional to 8,192 and 17,455

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 17,455 = 17,455 : x
2. Step 2: Convert to fraction form
   8,192/17,455 = 17,455/x
3. Step 3: Cross multiply
   8,192x = 17,455 × 17,455
4. Step 4: Simplify right side
   8,192x = 304,677,025
5. Step 5: Solve for x
   x = 304,677,025/8,192
6. Step 6: Final answer
   x = 37,192.02