Finding the Third Proportional to 25,857 and 41,010

Step by Step Solution

1. Step 1: Write the proportion equation
   25,857 : 41,010 = 41,010 : x
2. Step 2: Convert to fraction form
   25,857/41,010 = 41,010/x
3. Step 3: Cross multiply
   25,857x = 41,010 × 41,010
4. Step 4: Simplify right side
   25,857x = 1,681,820,100
5. Step 5: Solve for x
   x = 1,681,820,100/25,857
6. Step 6: Final answer
   x = 65,043.13