Finding the Third Proportional to 22.59 and 49.78

Step by Step Solution

1. Step 1: Write the proportion equation
   22.59 : 49.78 = 49.78 : x
2. Step 2: Convert to fraction form
   22.59/49.78 = 49.78/x
3. Step 3: Cross multiply
   22.59x = 49.78 × 49.78
4. Step 4: Simplify right side
   22.59x = 2,478.17
5. Step 5: Solve for x
   x = 2,478.17/22.59
6. Step 6: Final answer
   x = 109.68