Finding the Third Proportional to 15,766.50 and 24,413.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15,766.50 : 24,413.25 = 24,413.25 : x
2. Step 2: Convert to fraction form
   15,766.50/24,413.25 = 24,413.25/x
3. Step 3: Cross multiply
   15,766.50x = 24,413.25 × 24,413.25
4. Step 4: Simplify right side
   15,766.50x = 596,006,775.56
5. Step 5: Solve for x
   x = 596,006,775.56/15,766.50
6. Step 6: Final answer
   x = 37,802.10