Finding the Third Proportional to 52,002.75 and 101,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002.75 : 101,413.50 = 101,413.50 : x
2. Step 2: Convert to fraction form
   52,002.75/101,413.50 = 101,413.50/x
3. Step 3: Cross multiply
   52,002.75x = 101,413.50 × 101,413.50
4. Step 4: Simplify right side
   52,002.75x = 10,284,697,982.25
5. Step 5: Solve for x
   x = 10,284,697,982.25/52,002.75
6. Step 6: Final answer
   x = 197,772.19