Finding the Third Proportional to 2,524.92 and 3,614.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524.92 : 3,614.20 = 3,614.20 : x
2. Step 2: Convert to fraction form
   2,524.92/3,614.20 = 3,614.20/x
3. Step 3: Cross multiply
   2,524.92x = 3,614.20 × 3,614.20
4. Step 4: Simplify right side
   2,524.92x = 13,062,464.23
5. Step 5: Solve for x
   x = 13,062,464.23/2,524.92
6. Step 6: Final answer
   x = 5,173.41