Finding the Third Proportional to 10,019 and 14,689

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019 : 14,689 = 14,689 : x
2. Step 2: Convert to fraction form
   10,019/14,689 = 14,689/x
3. Step 3: Cross multiply
   10,019x = 14,689 × 14,689
4. Step 4: Simplify right side
   10,019x = 215,766,721
5. Step 5: Solve for x
   x = 215,766,721/10,019
6. Step 6: Final answer
   x = 21,535.75