Finding the Third Proportional to 21.75 and 31.88

Step by Step Solution

1. Step 1: Write the proportion equation
   21.75 : 31.88 = 31.88 : x
2. Step 2: Convert to fraction form
   21.75/31.88 = 31.88/x
3. Step 3: Cross multiply
   21.75x = 31.88 × 31.88
4. Step 4: Simplify right side
   21.75x = 1,016.02
5. Step 5: Solve for x
   x = 1,016.02/21.75
6. Step 6: Final answer
   x = 46.71