Finding the Third Proportional to 12,426 and 25,692

Step by Step Solution

1. Step 1: Write the proportion equation
   12,426 : 25,692 = 25,692 : x
2. Step 2: Convert to fraction form
   12,426/25,692 = 25,692/x
3. Step 3: Cross multiply
   12,426x = 25,692 × 25,692
4. Step 4: Simplify right side
   12,426x = 660,078,864
5. Step 5: Solve for x
   x = 660,078,864/12,426
6. Step 6: Final answer
   x = 53,120.78