Finding the Third Proportional to 31.43 and 48.57

Step by Step Solution

1. Step 1: Write the proportion equation
   31.43 : 48.57 = 48.57 : x
2. Step 2: Convert to fraction form
   31.43/48.57 = 48.57/x
3. Step 3: Cross multiply
   31.43x = 48.57 × 48.57
4. Step 4: Simplify right side
   31.43x = 2,358.89
5. Step 5: Solve for x
   x = 2,358.89/31.43
6. Step 6: Final answer
   x = 75.05