Finding the Third Proportional to 34.49 and 50.78

Step by Step Solution

1. Step 1: Write the proportion equation
   34.49 : 50.78 = 50.78 : x
2. Step 2: Convert to fraction form
   34.49/50.78 = 50.78/x
3. Step 3: Cross multiply
   34.49x = 50.78 × 50.78
4. Step 4: Simplify right side
   34.49x = 2,578.93
5. Step 5: Solve for x
   x = 2,578.93/34.49
6. Step 6: Final answer
   x = 74.78