Finding the Third Proportional to 10,419 and 12,027

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419 : 12,027 = 12,027 : x
2. Step 2: Convert to fraction form
   10,419/12,027 = 12,027/x
3. Step 3: Cross multiply
   10,419x = 12,027 × 12,027
4. Step 4: Simplify right side
   10,419x = 144,648,729
5. Step 5: Solve for x
   x = 144,648,729/10,419
6. Step 6: Final answer
   x = 13,883.17