Finding the Third Proportional to 32.38 and 68.56

Step by Step Solution

1. Step 1: Write the proportion equation
   32.38 : 68.56 = 68.56 : x
2. Step 2: Convert to fraction form
   32.38/68.56 = 68.56/x
3. Step 3: Cross multiply
   32.38x = 68.56 × 68.56
4. Step 4: Simplify right side
   32.38x = 4,700.82
5. Step 5: Solve for x
   x = 4,700.82/32.38
6. Step 6: Final answer
   x = 145.20