Finding the Third Proportional to 31,676 and 67,782

Step by Step Solution

1. Step 1: Write the proportion equation
   31,676 : 67,782 = 67,782 : x
2. Step 2: Convert to fraction form
   31,676/67,782 = 67,782/x
3. Step 3: Cross multiply
   31,676x = 67,782 × 67,782
4. Step 4: Simplify right side
   31,676x = 4,594,399,524
5. Step 5: Solve for x
   x = 4,594,399,524/31,676
6. Step 6: Final answer
   x = 145,043.55