Finding the Third Proportional to 2,448.50 and 3,661.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,448.50 : 3,661.75 = 3,661.75 : x
2. Step 2: Convert to fraction form
   2,448.50/3,661.75 = 3,661.75/x
3. Step 3: Cross multiply
   2,448.50x = 3,661.75 × 3,661.75
4. Step 4: Simplify right side
   2,448.50x = 13,408,413.06
5. Step 5: Solve for x
   x = 13,408,413.06/2,448.50
6. Step 6: Final answer
   x = 5,476.17