Finding the Third Proportional to 2,578.92 and 5,619.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.92 : 5,619.80 = 5,619.80 : x
2. Step 2: Convert to fraction form
   2,578.92/5,619.80 = 5,619.80/x
3. Step 3: Cross multiply
   2,578.92x = 5,619.80 × 5,619.80
4. Step 4: Simplify right side
   2,578.92x = 31,582,116.92
5. Step 5: Solve for x
   x = 31,582,116.92/2,578.92
6. Step 6: Final answer
   x = 12,246.25