Finding the Third Proportional to 38,413.69 and 83,832.19

Step by Step Solution

1. Step 1: Write the proportion equation
   38,413.69 : 83,832.19 = 83,832.19 : x
2. Step 2: Convert to fraction form
   38,413.69/83,832.19 = 83,832.19/x
3. Step 3: Cross multiply
   38,413.69x = 83,832.19 × 83,832.19
4. Step 4: Simplify right side
   38,413.69x = 7,027,835,661.04
5. Step 5: Solve for x
   x = 7,027,835,661.04/38,413.69
6. Step 6: Final answer
   x = 182,951.34