Finding the Third Proportional to 2,557.20 and 3,962.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.20 : 3,962.04 = 3,962.04 : x
2. Step 2: Convert to fraction form
   2,557.20/3,962.04 = 3,962.04/x
3. Step 3: Cross multiply
   2,557.20x = 3,962.04 × 3,962.04
4. Step 4: Simplify right side
   2,557.20x = 15,697,753.53
5. Step 5: Solve for x
   x = 15,697,753.53/2,557.20
6. Step 6: Final answer
   x = 6,138.66