Finding the Third Proportional to 22.78 and 33.61

Step by Step Solution

1. Step 1: Write the proportion equation
   22.78 : 33.61 = 33.61 : x
2. Step 2: Convert to fraction form
   22.78/33.61 = 33.61/x
3. Step 3: Cross multiply
   22.78x = 33.61 × 33.61
4. Step 4: Simplify right side
   22.78x = 1,129.59
5. Step 5: Solve for x
   x = 1,129.59/22.78
6. Step 6: Final answer
   x = 49.58