Finding the Third Proportional to 1,256.55 and 2,760.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.55 : 2,760.96 = 2,760.96 : x
2. Step 2: Convert to fraction form
   1,256.55/2,760.96 = 2,760.96/x
3. Step 3: Cross multiply
   1,256.55x = 2,760.96 × 2,760.96
4. Step 4: Simplify right side
   1,256.55x = 7,622,905.30
5. Step 5: Solve for x
   x = 7,622,905.30/1,256.55
6. Step 6: Final answer
   x = 6,066.51