Finding the Third Proportional to 21.24 and 32.04

Step by Step Solution

1. Step 1: Write the proportion equation
   21.24 : 32.04 = 32.04 : x
2. Step 2: Convert to fraction form
   21.24/32.04 = 32.04/x
3. Step 3: Cross multiply
   21.24x = 32.04 × 32.04
4. Step 4: Simplify right side
   21.24x = 1,026.31
5. Step 5: Solve for x
   x = 1,026.31/21.24
6. Step 6: Final answer
   x = 48.32