Finding the Third Proportional to 2,500 and 5,800

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500 : 5,800 = 5,800 : x
2. Step 2: Convert to fraction form
   2,500/5,800 = 5,800/x
3. Step 3: Cross multiply
   2,500x = 5,800 × 5,800
4. Step 4: Simplify right side
   2,500x = 33,640,000
5. Step 5: Solve for x
   x = 33,640,000/2,500
6. Step 6: Final answer
   x = 13,456