Finding the Third Proportional to 2,857.78 and 4,337.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,857.78 : 4,337.30 = 4,337.30 : x
2. Step 2: Convert to fraction form
   2,857.78/4,337.30 = 4,337.30/x
3. Step 3: Cross multiply
   2,857.78x = 4,337.30 × 4,337.30
4. Step 4: Simplify right side
   2,857.78x = 18,812,144.18
5. Step 5: Solve for x
   x = 18,812,144.18/2,857.78
6. Step 6: Final answer
   x = 6,582.78