Finding the Third Proportional to 2,857.78 and 4,023.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,857.78 : 4,023.42 = 4,023.42 : x
2. Step 2: Convert to fraction form
   2,857.78/4,023.42 = 4,023.42/x
3. Step 3: Cross multiply
   2,857.78x = 4,023.42 × 4,023.42
4. Step 4: Simplify right side
   2,857.78x = 16,187,923.58
5. Step 5: Solve for x
   x = 16,187,923.58/2,857.78
6. Step 6: Final answer
   x = 5,664.51