Finding the Third Proportional to 31,756 and 67,730

Step by Step Solution

1. Step 1: Write the proportion equation
   31,756 : 67,730 = 67,730 : x
2. Step 2: Convert to fraction form
   31,756/67,730 = 67,730/x
3. Step 3: Cross multiply
   31,756x = 67,730 × 67,730
4. Step 4: Simplify right side
   31,756x = 4,587,352,900
5. Step 5: Solve for x
   x = 4,587,352,900/31,756
6. Step 6: Final answer
   x = 144,456.26