Finding the Third Proportional to 31.80 and 48.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31.80 : 48.88 = 48.88 : x
2. Step 2: Convert to fraction form
   31.80/48.88 = 48.88/x
3. Step 3: Cross multiply
   31.80x = 48.88 × 48.88
4. Step 4: Simplify right side
   31.80x = 2,389.72
5. Step 5: Solve for x
   x = 2,389.72/31.80
6. Step 6: Final answer
   x = 75.15