Finding the Third Proportional to 1,256.25 and 2,760.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.25 : 2,760.38 = 2,760.38 : x
2. Step 2: Convert to fraction form
   1,256.25/2,760.38 = 2,760.38/x
3. Step 3: Cross multiply
   1,256.25x = 2,760.38 × 2,760.38
4. Step 4: Simplify right side
   1,256.25x = 7,619,670.14
5. Step 5: Solve for x
   x = 7,619,670.14/1,256.25
6. Step 6: Final answer
   x = 6,065.41