Finding the Third Proportional to 4.50 and 31.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4.50 : 31.88 = 31.88 : x
2. Step 2: Convert to fraction form
   4.50/31.88 = 31.88/x
3. Step 3: Cross multiply
   4.50x = 31.88 × 31.88
4. Step 4: Simplify right side
   4.50x = 1,016.02
5. Step 5: Solve for x
   x = 1,016.02/4.50
6. Step 6: Final answer
   x = 225.78