Finding the Third Proportional to 2,578.50 and 3,501.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.50 : 3,501.56 = 3,501.56 : x
2. Step 2: Convert to fraction form
   2,578.50/3,501.56 = 3,501.56/x
3. Step 3: Cross multiply
   2,578.50x = 3,501.56 × 3,501.56
4. Step 4: Simplify right side
   2,578.50x = 12,260,939.94
5. Step 5: Solve for x
   x = 12,260,939.94/2,578.50
6. Step 6: Final answer
   x = 4,755.07