Finding the Third Proportional to 47.69 and 50.78

Step by Step Solution

1. Step 1: Write the proportion equation
   47.69 : 50.78 = 50.78 : x
2. Step 2: Convert to fraction form
   47.69/50.78 = 50.78/x
3. Step 3: Cross multiply
   47.69x = 50.78 × 50.78
4. Step 4: Simplify right side
   47.69x = 2,578.74
5. Step 5: Solve for x
   x = 2,578.74/47.69
6. Step 6: Final answer
   x = 54.08