Finding the Third Proportional to 2,728.69 and 5,798.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,728.69 : 5,798.14 = 5,798.14 : x
2. Step 2: Convert to fraction form
   2,728.69/5,798.14 = 5,798.14/x
3. Step 3: Cross multiply
   2,728.69x = 5,798.14 × 5,798.14
4. Step 4: Simplify right side
   2,728.69x = 33,618,480.01
5. Step 5: Solve for x
   x = 33,618,480.01/2,728.69
6. Step 6: Final answer
   x = 12,320.38