Finding the Third Proportional to 10,500 and 14,238

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 14,238 = 14,238 : x
2. Step 2: Convert to fraction form
   10,500/14,238 = 14,238/x
3. Step 3: Cross multiply
   10,500x = 14,238 × 14,238
4. Step 4: Simplify right side
   10,500x = 202,720,644
5. Step 5: Solve for x
   x = 202,720,644/10,500
6. Step 6: Final answer
   x = 19,306.73