Finding the Third Proportional to 14,681 and 31,756

Step by Step Solution

1. Step 1: Write the proportion equation
   14,681 : 31,756 = 31,756 : x
2. Step 2: Convert to fraction form
   14,681/31,756 = 31,756/x
3. Step 3: Cross multiply
   14,681x = 31,756 × 31,756
4. Step 4: Simplify right side
   14,681x = 1,008,443,536
5. Step 5: Solve for x
   x = 1,008,443,536/14,681
6. Step 6: Final answer
   x = 68,690.38