Finding the Third Proportional to 23.06 and 31.88

Step by Step Solution

1. Step 1: Write the proportion equation
   23.06 : 31.88 = 31.88 : x
2. Step 2: Convert to fraction form
   23.06/31.88 = 31.88/x
3. Step 3: Cross multiply
   23.06x = 31.88 × 31.88
4. Step 4: Simplify right side
   23.06x = 1,016.02
5. Step 5: Solve for x
   x = 1,016.02/23.06
6. Step 6: Final answer
   x = 44.05