Finding the Third Proportional to 14,454 and 31,665

Step by Step Solution

1. Step 1: Write the proportion equation
   14,454 : 31,665 = 31,665 : x
2. Step 2: Convert to fraction form
   14,454/31,665 = 31,665/x
3. Step 3: Cross multiply
   14,454x = 31,665 × 31,665
4. Step 4: Simplify right side
   14,454x = 1,002,672,225
5. Step 5: Solve for x
   x = 1,002,672,225/14,454
6. Step 6: Final answer
   x = 69,369.88