Finding the Third Proportional to 66.88 and 102.69

Step by Step Solution

1. Step 1: Write the proportion equation
   66.88 : 102.69 = 102.69 : x
2. Step 2: Convert to fraction form
   66.88/102.69 = 102.69/x
3. Step 3: Cross multiply
   66.88x = 102.69 × 102.69
4. Step 4: Simplify right side
   66.88x = 10,544.72
5. Step 5: Solve for x
   x = 10,544.72/66.88
6. Step 6: Final answer
   x = 157.68