Finding the Third Proportional to 11,737 and 25,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,737 : 25,413.50 = 25,413.50 : x
2. Step 2: Convert to fraction form
   11,737/25,413.50 = 25,413.50/x
3. Step 3: Cross multiply
   11,737x = 25,413.50 × 25,413.50
4. Step 4: Simplify right side
   11,737x = 645,845,982.25
5. Step 5: Solve for x
   x = 645,845,982.25/11,737
6. Step 6: Final answer
   x = 55,026.50