Finding the Third Proportional to 10,212 and 14,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,212 : 14,380 = 14,380 : x
2. Step 2: Convert to fraction form
   10,212/14,380 = 14,380/x
3. Step 3: Cross multiply
   10,212x = 14,380 × 14,380
4. Step 4: Simplify right side
   10,212x = 206,784,400
5. Step 5: Solve for x
   x = 206,784,400/10,212
6. Step 6: Final answer
   x = 20,249.16