Finding the Third Proportional to 66.72 and 101.42

Step by Step Solution

1. Step 1: Write the proportion equation
   66.72 : 101.42 = 101.42 : x
2. Step 2: Convert to fraction form
   66.72/101.42 = 101.42/x
3. Step 3: Cross multiply
   66.72x = 101.42 × 101.42
4. Step 4: Simplify right side
   66.72x = 10,286.40
5. Step 5: Solve for x
   x = 10,286.40/66.72
6. Step 6: Final answer
   x = 154.18