Finding the Third Proportional to 2,780 and 5,828

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780 : 5,828 = 5,828 : x
2. Step 2: Convert to fraction form
   2,780/5,828 = 5,828/x
3. Step 3: Cross multiply
   2,780x = 5,828 × 5,828
4. Step 4: Simplify right side
   2,780x = 33,965,584
5. Step 5: Solve for x
   x = 33,965,584/2,780
6. Step 6: Final answer
   x = 12,217.84