Finding the Third Proportional to 1,282.88 and 1,818.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.88 : 1,818.56 = 1,818.56 : x
2. Step 2: Convert to fraction form
   1,282.88/1,818.56 = 1,818.56/x
3. Step 3: Cross multiply
   1,282.88x = 1,818.56 × 1,818.56
4. Step 4: Simplify right side
   1,282.88x = 3,307,169.57
5. Step 5: Solve for x
   x = 3,307,169.57/1,282.88
6. Step 6: Final answer
   x = 2,577.94