Finding the Third Proportional to 19,256 and 25,608

Step by Step Solution

1. Step 1: Write the proportion equation
   19,256 : 25,608 = 25,608 : x
2. Step 2: Convert to fraction form
   19,256/25,608 = 25,608/x
3. Step 3: Cross multiply
   19,256x = 25,608 × 25,608
4. Step 4: Simplify right side
   19,256x = 655,769,664
5. Step 5: Solve for x
   x = 655,769,664/19,256
6. Step 6: Final answer
   x = 34,055.34