Finding the Third Proportional to 11,200 and 16,741

Step by Step Solution

1. Step 1: Write the proportion equation
   11,200 : 16,741 = 16,741 : x
2. Step 2: Convert to fraction form
   11,200/16,741 = 16,741/x
3. Step 3: Cross multiply
   11,200x = 16,741 × 16,741
4. Step 4: Simplify right side
   11,200x = 280,261,081
5. Step 5: Solve for x
   x = 280,261,081/11,200
6. Step 6: Final answer
   x = 25,023.31