Finding the Third Proportional to 2,413.69 and 5,326.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.69 : 5,326.31 = 5,326.31 : x
2. Step 2: Convert to fraction form
   2,413.69/5,326.31 = 5,326.31/x
3. Step 3: Cross multiply
   2,413.69x = 5,326.31 × 5,326.31
4. Step 4: Simplify right side
   2,413.69x = 28,369,604.85
5. Step 5: Solve for x
   x = 28,369,604.85/2,413.69
6. Step 6: Final answer
   x = 11,753.64