Finding the Third Proportional to 34.57 and 50.78

Step by Step Solution

1. Step 1: Write the proportion equation
   34.57 : 50.78 = 50.78 : x
2. Step 2: Convert to fraction form
   34.57/50.78 = 50.78/x
3. Step 3: Cross multiply
   34.57x = 50.78 × 50.78
4. Step 4: Simplify right side
   34.57x = 2,578.93
5. Step 5: Solve for x
   x = 2,578.93/34.57
6. Step 6: Final answer
   x = 74.61