Finding the Third Proportional to 1,255.82 and 2,760.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.82 : 2,760.80 = 2,760.80 : x
2. Step 2: Convert to fraction form
   1,255.82/2,760.80 = 2,760.80/x
3. Step 3: Cross multiply
   1,255.82x = 2,760.80 × 2,760.80
4. Step 4: Simplify right side
   1,255.82x = 7,622,031.74
5. Step 5: Solve for x
   x = 7,622,031.74/1,255.82
6. Step 6: Final answer
   x = 6,069.38