Finding the Third Proportional to 24.25 and 32.38

Step by Step Solution

1. Step 1: Write the proportion equation
   24.25 : 32.38 = 32.38 : x
2. Step 2: Convert to fraction form
   24.25/32.38 = 32.38/x
3. Step 3: Cross multiply
   24.25x = 32.38 × 32.38
4. Step 4: Simplify right side
   24.25x = 1,048.14
5. Step 5: Solve for x
   x = 1,048.14/24.25
6. Step 6: Final answer
   x = 43.22