Finding the Third Proportional to 23.12 and 50.78

Step by Step Solution

1. Step 1: Write the proportion equation
   23.12 : 50.78 = 50.78 : x
2. Step 2: Convert to fraction form
   23.12/50.78 = 50.78/x
3. Step 3: Cross multiply
   23.12x = 50.78 × 50.78
4. Step 4: Simplify right side
   23.12x = 2,578.72
5. Step 5: Solve for x
   x = 2,578.72/23.12
6. Step 6: Final answer
   x = 111.55