Finding the Third Proportional to 32,049 and 49,753.83

Step by Step Solution

1. Step 1: Write the proportion equation
   32,049 : 49,753.83 = 49,753.83 : x
2. Step 2: Convert to fraction form
   32,049/49,753.83 = 49,753.83/x
3. Step 3: Cross multiply
   32,049x = 49,753.83 × 49,753.83
4. Step 4: Simplify right side
   32,049x = 2,475,443,413.09
5. Step 5: Solve for x
   x = 2,475,443,413.09/32,049
6. Step 6: Final answer
   x = 77,239.33