Finding the Third Proportional to 1,578.75 and 3,443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.75 : 3,443.25 = 3,443.25 : x
2. Step 2: Convert to fraction form
   1,578.75/3,443.25 = 3,443.25/x
3. Step 3: Cross multiply
   1,578.75x = 3,443.25 × 3,443.25
4. Step 4: Simplify right side
   1,578.75x = 11,855,970.56
5. Step 5: Solve for x
   x = 11,855,970.56/1,578.75
6. Step 6: Final answer
   x = 7,509.72