Finding the Third Proportional to 14,019 and 21,678

Step by Step Solution

1. Step 1: Write the proportion equation
   14,019 : 21,678 = 21,678 : x
2. Step 2: Convert to fraction form
   14,019/21,678 = 21,678/x
3. Step 3: Cross multiply
   14,019x = 21,678 × 21,678
4. Step 4: Simplify right side
   14,019x = 469,935,684
5. Step 5: Solve for x
   x = 469,935,684/14,019
6. Step 6: Final answer
   x = 33,521.34