Finding the Third Proportional to 31,766 and 67,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,766 : 67,640.50 = 67,640.50 : x
2. Step 2: Convert to fraction form
   31,766/67,640.50 = 67,640.50/x
3. Step 3: Cross multiply
   31,766x = 67,640.50 × 67,640.50
4. Step 4: Simplify right side
   31,766x = 4,575,237,240.25
5. Step 5: Solve for x
   x = 4,575,237,240.25/31,766
6. Step 6: Final answer
   x = 144,029.38