Finding the Third Proportional to 1,297.46 and 2,854.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.46 : 2,854.42 = 2,854.42 : x
2. Step 2: Convert to fraction form
   1,297.46/2,854.42 = 2,854.42/x
3. Step 3: Cross multiply
   1,297.46x = 2,854.42 × 2,854.42
4. Step 4: Simplify right side
   1,297.46x = 8,147,710.30
5. Step 5: Solve for x
   x = 8,147,710.30/1,297.46
6. Step 6: Final answer
   x = 6,279.72