Finding the Third Proportional to 1,822.82 and 2,578.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.82 : 2,578.71 = 2,578.71 : x
2. Step 2: Convert to fraction form
   1,822.82/2,578.71 = 2,578.71/x
3. Step 3: Cross multiply
   1,822.82x = 2,578.71 × 2,578.71
4. Step 4: Simplify right side
   1,822.82x = 6,649,750.10
5. Step 5: Solve for x
   x = 6,649,750.10/1,822.82
6. Step 6: Final answer
   x = 3,648.06