Finding the Third Proportional to 24.75 and 32.34

Step by Step Solution

1. Step 1: Write the proportion equation
   24.75 : 32.34 = 32.34 : x
2. Step 2: Convert to fraction form
   24.75/32.34 = 32.34/x
3. Step 3: Cross multiply
   24.75x = 32.34 × 32.34
4. Step 4: Simplify right side
   24.75x = 1,046.12
5. Step 5: Solve for x
   x = 1,046.12/24.75
6. Step 6: Final answer
   x = 42.27