Finding the Third Proportional to 41.25 and 89.06

Step by Step Solution

1. Step 1: Write the proportion equation
   41.25 : 89.06 = 89.06 : x
2. Step 2: Convert to fraction form
   41.25/89.06 = 89.06/x
3. Step 3: Cross multiply
   41.25x = 89.06 × 89.06
4. Step 4: Simplify right side
   41.25x = 7,932.13
5. Step 5: Solve for x
   x = 7,932.13/41.25
6. Step 6: Final answer
   x = 192.29