Finding the Third Proportional to 2,942.16 and 4,123.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,942.16 : 4,123.41 = 4,123.41 : x
2. Step 2: Convert to fraction form
   2,942.16/4,123.41 = 4,123.41/x
3. Step 3: Cross multiply
   2,942.16x = 4,123.41 × 4,123.41
4. Step 4: Simplify right side
   2,942.16x = 17,002,479.10
5. Step 5: Solve for x
   x = 17,002,479.10/2,942.16
6. Step 6: Final answer
   x = 5,778.92