Finding the Third Proportional to 40.69 and 57.84

Step by Step Solution

1. Step 1: Write the proportion equation
   40.69 : 57.84 = 57.84 : x
2. Step 2: Convert to fraction form
   40.69/57.84 = 57.84/x
3. Step 3: Cross multiply
   40.69x = 57.84 × 57.84
4. Step 4: Simplify right side
   40.69x = 3,345.90
5. Step 5: Solve for x
   x = 3,345.90/40.69
6. Step 6: Final answer
   x = 82.23