Finding the Third Proportional to 12,426 and 25,464

Step by Step Solution

1. Step 1: Write the proportion equation
   12,426 : 25,464 = 25,464 : x
2. Step 2: Convert to fraction form
   12,426/25,464 = 25,464/x
3. Step 3: Cross multiply
   12,426x = 25,464 × 25,464
4. Step 4: Simplify right side
   12,426x = 648,415,296
5. Step 5: Solve for x
   x = 648,415,296/12,426
6. Step 6: Final answer
   x = 52,182.14