Finding the Third Proportional to 25,647 and 53,022

Step by Step Solution

1. Step 1: Write the proportion equation
   25,647 : 53,022 = 53,022 : x
2. Step 2: Convert to fraction form
   25,647/53,022 = 53,022/x
3. Step 3: Cross multiply
   25,647x = 53,022 × 53,022
4. Step 4: Simplify right side
   25,647x = 2,811,332,484
5. Step 5: Solve for x
   x = 2,811,332,484/25,647
6. Step 6: Final answer
   x = 109,616.43