Finding the Third Proportional to 14,566 and 31,039

Step by Step Solution

1. Step 1: Write the proportion equation
   14,566 : 31,039 = 31,039 : x
2. Step 2: Convert to fraction form
   14,566/31,039 = 31,039/x
3. Step 3: Cross multiply
   14,566x = 31,039 × 31,039
4. Step 4: Simplify right side
   14,566x = 963,419,521
5. Step 5: Solve for x
   x = 963,419,521/14,566
6. Step 6: Final answer
   x = 66,141.67