Finding the Third Proportional to 1,180.20 and 2,413.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.20 : 2,413.55 = 2,413.55 : x
2. Step 2: Convert to fraction form
   1,180.20/2,413.55 = 2,413.55/x
3. Step 3: Cross multiply
   1,180.20x = 2,413.55 × 2,413.55
4. Step 4: Simplify right side
   1,180.20x = 5,825,208.52
5. Step 5: Solve for x
   x = 5,825,208.52/1,180.20
6. Step 6: Final answer
   x = 4,935.80