Finding the Third Proportional to 1,578.09 and 3,322.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.09 : 3,322.69 = 3,322.69 : x
2. Step 2: Convert to fraction form
   1,578.09/3,322.69 = 3,322.69/x
3. Step 3: Cross multiply
   1,578.09x = 3,322.69 × 3,322.69
4. Step 4: Simplify right side
   1,578.09x = 11,040,252.22
5. Step 5: Solve for x
   x = 11,040,252.22/1,578.09
6. Step 6: Final answer
   x = 6,995.94