Finding the Third Proportional to 8,413.13 and 12,456.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,413.13 : 12,456.38 = 12,456.38 : x
2. Step 2: Convert to fraction form
   8,413.13/12,456.38 = 12,456.38/x
3. Step 3: Cross multiply
   8,413.13x = 12,456.38 × 12,456.38
4. Step 4: Simplify right side
   8,413.13x = 155,161,278.14
5. Step 5: Solve for x
   x = 155,161,278.14/8,413.13
6. Step 6: Final answer
   x = 18,442.76