Finding the Third Proportional to 40.82 and 89.23

Step by Step Solution

1. Step 1: Write the proportion equation
   40.82 : 89.23 = 89.23 : x
2. Step 2: Convert to fraction form
   40.82/89.23 = 89.23/x
3. Step 3: Cross multiply
   40.82x = 89.23 × 89.23
4. Step 4: Simplify right side
   40.82x = 7,961.38
5. Step 5: Solve for x
   x = 7,961.38/40.82
6. Step 6: Final answer
   x = 195.05