Finding the Third Proportional to 2,413.50 and 3,524.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.50 : 3,524.25 = 3,524.25 : x
2. Step 2: Convert to fraction form
   2,413.50/3,524.25 = 3,524.25/x
3. Step 3: Cross multiply
   2,413.50x = 3,524.25 × 3,524.25
4. Step 4: Simplify right side
   2,413.50x = 12,420,338.06
5. Step 5: Solve for x
   x = 12,420,338.06/2,413.50
6. Step 6: Final answer
   x = 5,146.19