Finding the Third Proportional to 23.49 and 32.04

Step by Step Solution

1. Step 1: Write the proportion equation
   23.49 : 32.04 = 32.04 : x
2. Step 2: Convert to fraction form
   23.49/32.04 = 32.04/x
3. Step 3: Cross multiply
   23.49x = 32.04 × 32.04
4. Step 4: Simplify right side
   23.49x = 1,026.31
5. Step 5: Solve for x
   x = 1,026.31/23.49
6. Step 6: Final answer
   x = 43.69