Finding the Third Proportional to 13.71 and 32.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13.71 : 32.27 = 32.27 : x
2. Step 2: Convert to fraction form
   13.71/32.27 = 32.27/x
3. Step 3: Cross multiply
   13.71x = 32.27 × 32.27
4. Step 4: Simplify right side
   13.71x = 1,041.57
5. Step 5: Solve for x
   x = 1,041.57/13.71
6. Step 6: Final answer
   x = 75.97