Finding the Third Proportional to 66.61 and 101.46

Step by Step Solution

1. Step 1: Write the proportion equation
   66.61 : 101.46 = 101.46 : x
2. Step 2: Convert to fraction form
   66.61/101.46 = 101.46/x
3. Step 3: Cross multiply
   66.61x = 101.46 × 101.46
4. Step 4: Simplify right side
   66.61x = 10,294.32
5. Step 5: Solve for x
   x = 10,294.32/66.61
6. Step 6: Final answer
   x = 154.55