Finding the Third Proportional to 66.50 and 89.38

Step by Step Solution

1. Step 1: Write the proportion equation
   66.50 : 89.38 = 89.38 : x
2. Step 2: Convert to fraction form
   66.50/89.38 = 89.38/x
3. Step 3: Cross multiply
   66.50x = 89.38 × 89.38
4. Step 4: Simplify right side
   66.50x = 7,987.89
5. Step 5: Solve for x
   x = 7,987.89/66.50
6. Step 6: Final answer
   x = 120.12