Finding the Third Proportional to 14,516 and 31,670

Step by Step Solution

1. Step 1: Write the proportion equation
   14,516 : 31,670 = 31,670 : x
2. Step 2: Convert to fraction form
   14,516/31,670 = 31,670/x
3. Step 3: Cross multiply
   14,516x = 31,670 × 31,670
4. Step 4: Simplify right side
   14,516x = 1,002,988,900
5. Step 5: Solve for x
   x = 1,002,988,900/14,516
6. Step 6: Final answer
   x = 69,095.41