Finding the Third Proportional to 1,822.78 and 2,581.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.78 : 2,581.31 = 2,581.31 : x
2. Step 2: Convert to fraction form
   1,822.78/2,581.31 = 2,581.31/x
3. Step 3: Cross multiply
   1,822.78x = 2,581.31 × 2,581.31
4. Step 4: Simplify right side
   1,822.78x = 6,663,174.22
5. Step 5: Solve for x
   x = 6,663,174.22/1,822.78
6. Step 6: Final answer
   x = 3,655.50