Finding the Third Proportional to 25,980 and 57,256

Step by Step Solution

1. Step 1: Write the proportion equation
   25,980 : 57,256 = 57,256 : x
2. Step 2: Convert to fraction form
   25,980/57,256 = 57,256/x
3. Step 3: Cross multiply
   25,980x = 57,256 × 57,256
4. Step 4: Simplify right side
   25,980x = 3,278,249,536
5. Step 5: Solve for x
   x = 3,278,249,536/25,980
6. Step 6: Final answer
   x = 126,183.58