Finding the Third Proportional to 25,864 and 41,022

Step by Step Solution

1. Step 1: Write the proportion equation
   25,864 : 41,022 = 41,022 : x
2. Step 2: Convert to fraction form
   25,864/41,022 = 41,022/x
3. Step 3: Cross multiply
   25,864x = 41,022 × 41,022
4. Step 4: Simplify right side
   25,864x = 1,682,804,484
5. Step 5: Solve for x
   x = 1,682,804,484/25,864
6. Step 6: Final answer
   x = 65,063.58