Finding the Third Proportional to 2,413.13 and 3,970.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.13 : 3,970.69 = 3,970.69 : x
2. Step 2: Convert to fraction form
   2,413.13/3,970.69 = 3,970.69/x
3. Step 3: Cross multiply
   2,413.13x = 3,970.69 × 3,970.69
4. Step 4: Simplify right side
   2,413.13x = 15,766,359.22
5. Step 5: Solve for x
   x = 15,766,359.22/2,413.13
6. Step 6: Final answer
   x = 6,533.59