Finding the Third Proportional to 53,233.88 and 82,413.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53,233.88 : 82,413.38 = 82,413.38 : x
2. Step 2: Convert to fraction form
   53,233.88/82,413.38 = 82,413.38/x
3. Step 3: Cross multiply
   53,233.88x = 82,413.38 × 82,413.38
4. Step 4: Simplify right side
   53,233.88x = 6,791,964,378.89
5. Step 5: Solve for x
   x = 6,791,964,378.89/53,233.88
6. Step 6: Final answer
   x = 127,587.26