Finding the Third Proportional to 25,546 and 41,018

Step by Step Solution

1. Step 1: Write the proportion equation
   25,546 : 41,018 = 41,018 : x
2. Step 2: Convert to fraction form
   25,546/41,018 = 41,018/x
3. Step 3: Cross multiply
   25,546x = 41,018 × 41,018
4. Step 4: Simplify right side
   25,546x = 1,682,476,324
5. Step 5: Solve for x
   x = 1,682,476,324/25,546
6. Step 6: Final answer
   x = 65,860.66