Finding the Third Proportional to 10,320 and 14,427

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 14,427 = 14,427 : x
2. Step 2: Convert to fraction form
   10,320/14,427 = 14,427/x
3. Step 3: Cross multiply
   10,320x = 14,427 × 14,427
4. Step 4: Simplify right side
   10,320x = 208,138,329
5. Step 5: Solve for x
   x = 208,138,329/10,320
6. Step 6: Final answer
   x = 20,168.44