Finding the Third Proportional to 2,355.09 and 4,952.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,355.09 : 4,952.53 = 4,952.53 : x
2. Step 2: Convert to fraction form
   2,355.09/4,952.53 = 4,952.53/x
3. Step 3: Cross multiply
   2,355.09x = 4,952.53 × 4,952.53
4. Step 4: Simplify right side
   2,355.09x = 24,527,565.78
5. Step 5: Solve for x
   x = 24,527,565.78/2,355.09
6. Step 6: Final answer
   x = 10,414.69