Finding the Third Proportional to 66.38 and 136.69

Step by Step Solution

1. Step 1: Write the proportion equation
   66.38 : 136.69 = 136.69 : x
2. Step 2: Convert to fraction form
   66.38/136.69 = 136.69/x
3. Step 3: Cross multiply
   66.38x = 136.69 × 136.69
4. Step 4: Simplify right side
   66.38x = 18,683.47
5. Step 5: Solve for x
   x = 18,683.47/66.38
6. Step 6: Final answer
   x = 281.48