Finding the Third Proportional to 31,413.75 and 67,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,413.75 : 67,747.50 = 67,747.50 : x
2. Step 2: Convert to fraction form
   31,413.75/67,747.50 = 67,747.50/x
3. Step 3: Cross multiply
   31,413.75x = 67,747.50 × 67,747.50
4. Step 4: Simplify right side
   31,413.75x = 4,589,723,756.25
5. Step 5: Solve for x
   x = 4,589,723,756.25/31,413.75
6. Step 6: Final answer
   x = 146,105.57