Finding the Third Proportional to 31,741 and 68,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,741 : 68,949.50 = 68,949.50 : x
2. Step 2: Convert to fraction form
   31,741/68,949.50 = 68,949.50/x
3. Step 3: Cross multiply
   31,741x = 68,949.50 × 68,949.50
4. Step 4: Simplify right side
   31,741x = 4,754,033,550.25
5. Step 5: Solve for x
   x = 4,754,033,550.25/31,741
6. Step 6: Final answer
   x = 149,775.80