Finding the Third Proportional to 1,323.42 and 2,822.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.42 : 2,822.55 = 2,822.55 : x
2. Step 2: Convert to fraction form
   1,323.42/2,822.55 = 2,822.55/x
3. Step 3: Cross multiply
   1,323.42x = 2,822.55 × 2,822.55
4. Step 4: Simplify right side
   1,323.42x = 7,966,814.96
5. Step 5: Solve for x
   x = 7,966,814.96/1,323.42
6. Step 6: Final answer
   x = 6,019.86