Finding the Third Proportional to 23.91 and 32.16

Step by Step Solution

1. Step 1: Write the proportion equation
   23.91 : 32.16 = 32.16 : x
2. Step 2: Convert to fraction form
   23.91/32.16 = 32.16/x
3. Step 3: Cross multiply
   23.91x = 32.16 × 32.16
4. Step 4: Simplify right side
   23.91x = 1,034.29
5. Step 5: Solve for x
   x = 1,034.29/23.91
6. Step 6: Final answer
   x = 43.25