Finding the Third Proportional to 66.75 and 101.56

Step by Step Solution

1. Step 1: Write the proportion equation
   66.75 : 101.56 = 101.56 : x
2. Step 2: Convert to fraction form
   66.75/101.56 = 101.56/x
3. Step 3: Cross multiply
   66.75x = 101.56 × 101.56
4. Step 4: Simplify right side
   66.75x = 10,314.94
5. Step 5: Solve for x
   x = 10,314.94/66.75
6. Step 6: Final answer
   x = 154.53