Finding the Third Proportional to 21,660 and 31,665

Step by Step Solution

1. Step 1: Write the proportion equation
   21,660 : 31,665 = 31,665 : x
2. Step 2: Convert to fraction form
   21,660/31,665 = 31,665/x
3. Step 3: Cross multiply
   21,660x = 31,665 × 31,665
4. Step 4: Simplify right side
   21,660x = 1,002,672,225
5. Step 5: Solve for x
   x = 1,002,672,225/21,660
6. Step 6: Final answer
   x = 46,291.42