Finding the Third Proportional to 2,724.26 and 5,892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,724.26 : 5,892.75 = 5,892.75 : x
2. Step 2: Convert to fraction form
   2,724.26/5,892.75 = 5,892.75/x
3. Step 3: Cross multiply
   2,724.26x = 5,892.75 × 5,892.75
4. Step 4: Simplify right side
   2,724.26x = 34,724,502.56
5. Step 5: Solve for x
   x = 34,724,502.56/2,724.26
6. Step 6: Final answer
   x = 12,746.41