Finding the Third Proportional to 31,257.50 and 73,741

Step by Step Solution

1. Step 1: Write the proportion equation
   31,257.50 : 73,741 = 73,741 : x
2. Step 2: Convert to fraction form
   31,257.50/73,741 = 73,741/x
3. Step 3: Cross multiply
   31,257.50x = 73,741 × 73,741
4. Step 4: Simplify right side
   31,257.50x = 5,437,735,081
5. Step 5: Solve for x
   x = 5,437,735,081/31,257.50
6. Step 6: Final answer
   x = 173,965.77