Finding the Third Proportional to 18.56 and 40.61

Step by Step Solution

1. Step 1: Write the proportion equation
   18.56 : 40.61 = 40.61 : x
2. Step 2: Convert to fraction form
   18.56/40.61 = 40.61/x
3. Step 3: Cross multiply
   18.56x = 40.61 × 40.61
4. Step 4: Simplify right side
   18.56x = 1,648.80
5. Step 5: Solve for x
   x = 1,648.80/18.56
6. Step 6: Final answer
   x = 88.82