Finding the Third Proportional to 2,578.50 and 4,936.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.50 : 4,936.78 = 4,936.78 : x
2. Step 2: Convert to fraction form
   2,578.50/4,936.78 = 4,936.78/x
3. Step 3: Cross multiply
   2,578.50x = 4,936.78 × 4,936.78
4. Step 4: Simplify right side
   2,578.50x = 24,371,809.11
5. Step 5: Solve for x
   x = 24,371,809.11/2,578.50
6. Step 6: Final answer
   x = 9,451.93