Finding the Third Proportional to 6,019 and 12,868

Step by Step Solution

1. Step 1: Write the proportion equation
   6,019 : 12,868 = 12,868 : x
2. Step 2: Convert to fraction form
   6,019/12,868 = 12,868/x
3. Step 3: Cross multiply
   6,019x = 12,868 × 12,868
4. Step 4: Simplify right side
   6,019x = 165,585,424
5. Step 5: Solve for x
   x = 165,585,424/6,019
6. Step 6: Final answer
   x = 27,510.45