Finding the Third Proportional to 1,727.16 and 2,656.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,727.16 : 2,656.27 = 2,656.27 : x
2. Step 2: Convert to fraction form
   1,727.16/2,656.27 = 2,656.27/x
3. Step 3: Cross multiply
   1,727.16x = 2,656.27 × 2,656.27
4. Step 4: Simplify right side
   1,727.16x = 7,055,747.07
5. Step 5: Solve for x
   x = 7,055,747.07/1,727.16
6. Step 6: Final answer
   x = 4,085.18