Finding the Third Proportional to 2,626.17 and 5,724.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,626.17 : 5,724.42 = 5,724.42 : x
2. Step 2: Convert to fraction form
   2,626.17/5,724.42 = 5,724.42/x
3. Step 3: Cross multiply
   2,626.17x = 5,724.42 × 5,724.42
4. Step 4: Simplify right side
   2,626.17x = 32,769,005.80
5. Step 5: Solve for x
   x = 32,769,005.80/2,626.17
6. Step 6: Final answer
   x = 12,477.86