Finding the Third Proportional to 13,426 and 25,628

Step by Step Solution

1. Step 1: Write the proportion equation
   13,426 : 25,628 = 25,628 : x
2. Step 2: Convert to fraction form
   13,426/25,628 = 25,628/x
3. Step 3: Cross multiply
   13,426x = 25,628 × 25,628
4. Step 4: Simplify right side
   13,426x = 656,794,384
5. Step 5: Solve for x
   x = 656,794,384/13,426
6. Step 6: Final answer
   x = 48,919.59