Finding the Third Proportional to 20.04 and 41.42

Step by Step Solution

1. Step 1: Write the proportion equation
   20.04 : 41.42 = 41.42 : x
2. Step 2: Convert to fraction form
   20.04/41.42 = 41.42/x
3. Step 3: Cross multiply
   20.04x = 41.42 × 41.42
4. Step 4: Simplify right side
   20.04x = 1,715.59
5. Step 5: Solve for x
   x = 1,715.59/20.04
6. Step 6: Final answer
   x = 85.60