Finding the Third Proportional to 1,746.56 and 2,726.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.56 : 2,726.16 = 2,726.16 : x
2. Step 2: Convert to fraction form
   1,746.56/2,726.16 = 2,726.16/x
3. Step 3: Cross multiply
   1,746.56x = 2,726.16 × 2,726.16
4. Step 4: Simplify right side
   1,746.56x = 7,431,927.90
5. Step 5: Solve for x
   x = 7,431,927.90/1,746.56
6. Step 6: Final answer
   x = 4,255.17