Finding the Third Proportional to 13,808 and 25,648

Step by Step Solution

1. Step 1: Write the proportion equation
   13,808 : 25,648 = 25,648 : x
2. Step 2: Convert to fraction form
   13,808/25,648 = 25,648/x
3. Step 3: Cross multiply
   13,808x = 25,648 × 25,648
4. Step 4: Simplify right side
   13,808x = 657,819,904
5. Step 5: Solve for x
   x = 657,819,904/13,808
6. Step 6: Final answer
   x = 47,640.49