Finding the Third Proportional to 12,678 and 25,014

Step by Step Solution

1. Step 1: Write the proportion equation
   12,678 : 25,014 = 25,014 : x
2. Step 2: Convert to fraction form
   12,678/25,014 = 25,014/x
3. Step 3: Cross multiply
   12,678x = 25,014 × 25,014
4. Step 4: Simplify right side
   12,678x = 625,700,196
5. Step 5: Solve for x
   x = 625,700,196/12,678
6. Step 6: Final answer
   x = 49,353.23