Finding the Third Proportional to 5,821 and 13,741

Step by Step Solution

1. Step 1: Write the proportion equation
   5,821 : 13,741 = 13,741 : x
2. Step 2: Convert to fraction form
   5,821/13,741 = 13,741/x
3. Step 3: Cross multiply
   5,821x = 13,741 × 13,741
4. Step 4: Simplify right side
   5,821x = 188,815,081
5. Step 5: Solve for x
   x = 188,815,081/5,821
6. Step 6: Final answer
   x = 32,436.88