Finding the Third Proportional to 31,766 and 67,751

Step by Step Solution

1. Step 1: Write the proportion equation
   31,766 : 67,751 = 67,751 : x
2. Step 2: Convert to fraction form
   31,766/67,751 = 67,751/x
3. Step 3: Cross multiply
   31,766x = 67,751 × 67,751
4. Step 4: Simplify right side
   31,766x = 4,590,198,001
5. Step 5: Solve for x
   x = 4,590,198,001/31,766
6. Step 6: Final answer
   x = 144,500.35