Finding the Third Proportional to 2,642.06 and 5,724.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.06 : 5,724.44 = 5,724.44 : x
2. Step 2: Convert to fraction form
   2,642.06/5,724.44 = 5,724.44/x
3. Step 3: Cross multiply
   2,642.06x = 5,724.44 × 5,724.44
4. Step 4: Simplify right side
   2,642.06x = 32,769,184.69
5. Step 5: Solve for x
   x = 32,769,184.69/2,642.06
6. Step 6: Final answer
   x = 12,402.88