Finding the Third Proportional to 12,019 and 25,814

Step by Step Solution

1. Step 1: Write the proportion equation
   12,019 : 25,814 = 25,814 : x
2. Step 2: Convert to fraction form
   12,019/25,814 = 25,814/x
3. Step 3: Cross multiply
   12,019x = 25,814 × 25,814
4. Step 4: Simplify right side
   12,019x = 666,362,596
5. Step 5: Solve for x
   x = 666,362,596/12,019
6. Step 6: Final answer
   x = 55,442.43