Finding the Third Proportional to 66.06 and 101.69

Step by Step Solution

1. Step 1: Write the proportion equation
   66.06 : 101.69 = 101.69 : x
2. Step 2: Convert to fraction form
   66.06/101.69 = 101.69/x
3. Step 3: Cross multiply
   66.06x = 101.69 × 101.69
4. Step 4: Simplify right side
   66.06x = 10,340.35
5. Step 5: Solve for x
   x = 10,340.35/66.06
6. Step 6: Final answer
   x = 156.52