Finding the Third Proportional to 41.04 and 89.31

Step by Step Solution

1. Step 1: Write the proportion equation
   41.04 : 89.31 = 89.31 : x
2. Step 2: Convert to fraction form
   41.04/89.31 = 89.31/x
3. Step 3: Cross multiply
   41.04x = 89.31 × 89.31
4. Step 4: Simplify right side
   41.04x = 7,977.07
5. Step 5: Solve for x
   x = 7,977.07/41.04
6. Step 6: Final answer
   x = 194.35