Finding the Third Proportional to 3,158.16 and 4,747.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,158.16 : 4,747.78 = 4,747.78 : x
2. Step 2: Convert to fraction form
   3,158.16/4,747.78 = 4,747.78/x
3. Step 3: Cross multiply
   3,158.16x = 4,747.78 × 4,747.78
4. Step 4: Simplify right side
   3,158.16x = 22,541,426.80
5. Step 5: Solve for x
   x = 22,541,426.80/3,158.16
6. Step 6: Final answer
   x = 7,137.53