Finding the Third Proportional to 25,646 and 52,568

Step by Step Solution

1. Step 1: Write the proportion equation
   25,646 : 52,568 = 52,568 : x
2. Step 2: Convert to fraction form
   25,646/52,568 = 52,568/x
3. Step 3: Cross multiply
   25,646x = 52,568 × 52,568
4. Step 4: Simplify right side
   25,646x = 2,763,394,624
5. Step 5: Solve for x
   x = 2,763,394,624/25,646
6. Step 6: Final answer
   x = 107,751.49