Finding the Third Proportional to 2,413.83 and 5,289.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.83 : 5,289.05 = 5,289.05 : x
2. Step 2: Convert to fraction form
   2,413.83/5,289.05 = 5,289.05/x
3. Step 3: Cross multiply
   2,413.83x = 5,289.05 × 5,289.05
4. Step 4: Simplify right side
   2,413.83x = 27,974,016.85
5. Step 5: Solve for x
   x = 27,974,016.85/2,413.83
6. Step 6: Final answer
   x = 11,589.07