Finding the Third Proportional to 14,774 and 31,624

Step by Step Solution

1. Step 1: Write the proportion equation
   14,774 : 31,624 = 31,624 : x
2. Step 2: Convert to fraction form
   14,774/31,624 = 31,624/x
3. Step 3: Cross multiply
   14,774x = 31,624 × 31,624
4. Step 4: Simplify right side
   14,774x = 1,000,077,376
5. Step 5: Solve for x
   x = 1,000,077,376/14,774
6. Step 6: Final answer
   x = 67,691.71