Finding the Third Proportional to 25,832 and 51,256

Step by Step Solution

1. Step 1: Write the proportion equation
   25,832 : 51,256 = 51,256 : x
2. Step 2: Convert to fraction form
   25,832/51,256 = 51,256/x
3. Step 3: Cross multiply
   25,832x = 51,256 × 51,256
4. Step 4: Simplify right side
   25,832x = 2,627,177,536
5. Step 5: Solve for x
   x = 2,627,177,536/25,832
6. Step 6: Final answer
   x = 101,702.44