Finding the Third Proportional to 32.27 and 68.82

Step by Step Solution

1. Step 1: Write the proportion equation
   32.27 : 68.82 = 68.82 : x
2. Step 2: Convert to fraction form
   32.27/68.82 = 68.82/x
3. Step 3: Cross multiply
   32.27x = 68.82 × 68.82
4. Step 4: Simplify right side
   32.27x = 4,735.97
5. Step 5: Solve for x
   x = 4,735.97/32.27
6. Step 6: Final answer
   x = 146.75