Finding the Third Proportional to 19,256 and 25,962

Step by Step Solution

1. Step 1: Write the proportion equation
   19,256 : 25,962 = 25,962 : x
2. Step 2: Convert to fraction form
   19,256/25,962 = 25,962/x
3. Step 3: Cross multiply
   19,256x = 25,962 × 25,962
4. Step 4: Simplify right side
   19,256x = 674,025,444
5. Step 5: Solve for x
   x = 674,025,444/19,256
6. Step 6: Final answer
   x = 35,003.40