Finding the Third Proportional to 1,223.20 and 2,726.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.20 : 2,726.54 = 2,726.54 : x
2. Step 2: Convert to fraction form
   1,223.20/2,726.54 = 2,726.54/x
3. Step 3: Cross multiply
   1,223.20x = 2,726.54 × 2,726.54
4. Step 4: Simplify right side
   1,223.20x = 7,434,004.61
5. Step 5: Solve for x
   x = 7,434,004.61/1,223.20
6. Step 6: Final answer
   x = 6,077.52