Finding the Third Proportional to 32.06 and 67.08

Step by Step Solution

1. Step 1: Write the proportion equation
   32.06 : 67.08 = 67.08 : x
2. Step 2: Convert to fraction form
   32.06/67.08 = 67.08/x
3. Step 3: Cross multiply
   32.06x = 67.08 × 67.08
4. Step 4: Simplify right side
   32.06x = 4,499.47
5. Step 5: Solve for x
   x = 4,499.47/32.06
6. Step 6: Final answer
   x = 140.33