Finding the Third Proportional to 2,513.25 and 5,413.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.25 : 5,413.78 = 5,413.78 : x
2. Step 2: Convert to fraction form
   2,513.25/5,413.78 = 5,413.78/x
3. Step 3: Cross multiply
   2,513.25x = 5,413.78 × 5,413.78
4. Step 4: Simplify right side
   2,513.25x = 29,309,027.42
5. Step 5: Solve for x
   x = 29,309,027.42/2,513.25
6. Step 6: Final answer
   x = 11,661.80