Finding the Third Proportional to 14,632 and 23,496

Step by Step Solution

1. Step 1: Write the proportion equation
   14,632 : 23,496 = 23,496 : x
2. Step 2: Convert to fraction form
   14,632/23,496 = 23,496/x
3. Step 3: Cross multiply
   14,632x = 23,496 × 23,496
4. Step 4: Simplify right side
   14,632x = 552,062,016
5. Step 5: Solve for x
   x = 552,062,016/14,632
6. Step 6: Final answer
   x = 37,729.77