Finding the Third Proportional to 11,568 and 25,724

Step by Step Solution

1. Step 1: Write the proportion equation
   11,568 : 25,724 = 25,724 : x
2. Step 2: Convert to fraction form
   11,568/25,724 = 25,724/x
3. Step 3: Cross multiply
   11,568x = 25,724 × 25,724
4. Step 4: Simplify right side
   11,568x = 661,724,176
5. Step 5: Solve for x
   x = 661,724,176/11,568
6. Step 6: Final answer
   x = 57,202.99