Finding the Third Proportional to 66.66 and 141.42

Step by Step Solution

1. Step 1: Write the proportion equation
   66.66 : 141.42 = 141.42 : x
2. Step 2: Convert to fraction form
   66.66/141.42 = 141.42/x
3. Step 3: Cross multiply
   66.66x = 141.42 × 141.42
4. Step 4: Simplify right side
   66.66x = 20,000.15
5. Step 5: Solve for x
   x = 20,000.15/66.66
6. Step 6: Final answer
   x = 300.05