Finding the Third Proportional to 66.30 and 89.09

Step by Step Solution

1. Step 1: Write the proportion equation
   66.30 : 89.09 = 89.09 : x
2. Step 2: Convert to fraction form
   66.30/89.09 = 89.09/x
3. Step 3: Cross multiply
   66.30x = 89.09 × 89.09
4. Step 4: Simplify right side
   66.30x = 7,936.30
5. Step 5: Solve for x
   x = 7,936.30/66.30
6. Step 6: Final answer
   x = 119.69