Finding the Third Proportional to 16,022 and 25,741

Step by Step Solution

1. Step 1: Write the proportion equation
   16,022 : 25,741 = 25,741 : x
2. Step 2: Convert to fraction form
   16,022/25,741 = 25,741/x
3. Step 3: Cross multiply
   16,022x = 25,741 × 25,741
4. Step 4: Simplify right side
   16,022x = 662,599,081
5. Step 5: Solve for x
   x = 662,599,081/16,022
6. Step 6: Final answer
   x = 41,355.58