Finding the Third Proportional to 2,026.69 and 2,724.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.69 : 2,724.47 = 2,724.47 : x
2. Step 2: Convert to fraction form
   2,026.69/2,724.47 = 2,724.47/x
3. Step 3: Cross multiply
   2,026.69x = 2,724.47 × 2,724.47
4. Step 4: Simplify right side
   2,026.69x = 7,422,729.97
5. Step 5: Solve for x
   x = 7,422,729.97/2,026.69
6. Step 6: Final answer
   x = 3,662.49