Finding the Third Proportional to 22.75 and 40.56

Step by Step Solution

1. Step 1: Write the proportion equation
   22.75 : 40.56 = 40.56 : x
2. Step 2: Convert to fraction form
   22.75/40.56 = 40.56/x
3. Step 3: Cross multiply
   22.75x = 40.56 × 40.56
4. Step 4: Simplify right side
   22.75x = 1,645.32
5. Step 5: Solve for x
   x = 1,645.32/22.75
6. Step 6: Final answer
   x = 72.32