Finding the Third Proportional to 2,602 and 5,780

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602 : 5,780 = 5,780 : x
2. Step 2: Convert to fraction form
   2,602/5,780 = 5,780/x
3. Step 3: Cross multiply
   2,602x = 5,780 × 5,780
4. Step 4: Simplify right side
   2,602x = 33,408,400
5. Step 5: Solve for x
   x = 33,408,400/2,602
6. Step 6: Final answer
   x = 12,839.51