Finding the Third Proportional to 30.82 and 67.71

Step by Step Solution

1. Step 1: Write the proportion equation
   30.82 : 67.71 = 67.71 : x
2. Step 2: Convert to fraction form
   30.82/67.71 = 67.71/x
3. Step 3: Cross multiply
   30.82x = 67.71 × 67.71
4. Step 4: Simplify right side
   30.82x = 4,584.40
5. Step 5: Solve for x
   x = 4,584.40/30.82
6. Step 6: Final answer
   x = 148.73