Finding the Third Proportional to 41.06 and 89.34

Step by Step Solution

1. Step 1: Write the proportion equation
   41.06 : 89.34 = 89.34 : x
2. Step 2: Convert to fraction form
   41.06/89.34 = 89.34/x
3. Step 3: Cross multiply
   41.06x = 89.34 × 89.34
4. Step 4: Simplify right side
   41.06x = 7,982.31
5. Step 5: Solve for x
   x = 7,982.31/41.06
6. Step 6: Final answer
   x = 194.39