Finding the Third Proportional to 14.29 and 31.89

Step by Step Solution

1. Step 1: Write the proportion equation
   14.29 : 31.89 = 31.89 : x
2. Step 2: Convert to fraction form
   14.29/31.89 = 31.89/x
3. Step 3: Cross multiply
   14.29x = 31.89 × 31.89
4. Step 4: Simplify right side
   14.29x = 1,016.69
5. Step 5: Solve for x
   x = 1,016.69/14.29
6. Step 6: Final answer
   x = 71.13