Finding the Third Proportional to 32,877 and 53,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,877 : 53,413.50 = 53,413.50 : x
2. Step 2: Convert to fraction form
   32,877/53,413.50 = 53,413.50/x
3. Step 3: Cross multiply
   32,877x = 53,413.50 × 53,413.50
4. Step 4: Simplify right side
   32,877x = 2,853,001,982.25
5. Step 5: Solve for x
   x = 2,853,001,982.25/32,877
6. Step 6: Final answer
   x = 86,778.05