Finding the Third Proportional to 41.20 and 89.02

Step by Step Solution

1. Step 1: Write the proportion equation
   41.20 : 89.02 = 89.02 : x
2. Step 2: Convert to fraction form
   41.20/89.02 = 89.02/x
3. Step 3: Cross multiply
   41.20x = 89.02 × 89.02
4. Step 4: Simplify right side
   41.20x = 7,923.78
5. Step 5: Solve for x
   x = 7,923.78/41.20
6. Step 6: Final answer
   x = 192.31