Finding the Third Proportional to 31.20 and 48.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31.20 : 48.56 = 48.56 : x
2. Step 2: Convert to fraction form
   31.20/48.56 = 48.56/x
3. Step 3: Cross multiply
   31.20x = 48.56 × 48.56
4. Step 4: Simplify right side
   31.20x = 2,358.32
5. Step 5: Solve for x
   x = 2,358.32/31.20
6. Step 6: Final answer
   x = 75.60