Finding the Third Proportional to 2,584 and 5,204

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584 : 5,204 = 5,204 : x
2. Step 2: Convert to fraction form
   2,584/5,204 = 5,204/x
3. Step 3: Cross multiply
   2,584x = 5,204 × 5,204
4. Step 4: Simplify right side
   2,584x = 27,081,616
5. Step 5: Solve for x
   x = 27,081,616/2,584
6. Step 6: Final answer
   x = 10,480.50