Finding the Third Proportional to 14.81 and 32.16

Step by Step Solution

1. Step 1: Write the proportion equation
   14.81 : 32.16 = 32.16 : x
2. Step 2: Convert to fraction form
   14.81/32.16 = 32.16/x
3. Step 3: Cross multiply
   14.81x = 32.16 × 32.16
4. Step 4: Simplify right side
   14.81x = 1,034.02
5. Step 5: Solve for x
   x = 1,034.02/14.81
6. Step 6: Final answer
   x = 69.81