Finding the Third Proportional to 37,413.50 and 80,761.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,413.50 : 80,761.75 = 80,761.75 : x
2. Step 2: Convert to fraction form
   37,413.50/80,761.75 = 80,761.75/x
3. Step 3: Cross multiply
   37,413.50x = 80,761.75 × 80,761.75
4. Step 4: Simplify right side
   37,413.50x = 6,522,460,263.06
5. Step 5: Solve for x
   x = 6,522,460,263.06/37,413.50
6. Step 6: Final answer
   x = 174,334.41