Finding the Third Proportional to 1,578.94 and 2,458.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.94 : 2,458.69 = 2,458.69 : x
2. Step 2: Convert to fraction form
   1,578.94/2,458.69 = 2,458.69/x
3. Step 3: Cross multiply
   1,578.94x = 2,458.69 × 2,458.69
4. Step 4: Simplify right side
   1,578.94x = 6,045,144.22
5. Step 5: Solve for x
   x = 6,045,144.22/1,578.94
6. Step 6: Final answer
   x = 3,828.62