Finding the Third Proportional to 10,540 and 17,496

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 17,496 = 17,496 : x
2. Step 2: Convert to fraction form
   10,540/17,496 = 17,496/x
3. Step 3: Cross multiply
   10,540x = 17,496 × 17,496
4. Step 4: Simplify right side
   10,540x = 306,110,016
5. Step 5: Solve for x
   x = 306,110,016/10,540
6. Step 6: Final answer
   x = 29,042.70