Finding the Third Proportional to 14,238 and 21,006

Step by Step Solution

1. Step 1: Write the proportion equation
   14,238 : 21,006 = 21,006 : x
2. Step 2: Convert to fraction form
   14,238/21,006 = 21,006/x
3. Step 3: Cross multiply
   14,238x = 21,006 × 21,006
4. Step 4: Simplify right side
   14,238x = 441,252,036
5. Step 5: Solve for x
   x = 441,252,036/14,238
6. Step 6: Final answer
   x = 30,991.15