Finding the Third Proportional to 14.42 and 32.04

Step by Step Solution

1. Step 1: Write the proportion equation
   14.42 : 32.04 = 32.04 : x
2. Step 2: Convert to fraction form
   14.42/32.04 = 32.04/x
3. Step 3: Cross multiply
   14.42x = 32.04 × 32.04
4. Step 4: Simplify right side
   14.42x = 1,026.31
5. Step 5: Solve for x
   x = 1,026.31/14.42
6. Step 6: Final answer
   x = 71.19