Finding the Third Proportional to 10,182 and 14,463

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182 : 14,463 = 14,463 : x
2. Step 2: Convert to fraction form
   10,182/14,463 = 14,463/x
3. Step 3: Cross multiply
   10,182x = 14,463 × 14,463
4. Step 4: Simplify right side
   10,182x = 209,178,369
5. Step 5: Solve for x
   x = 209,178,369/10,182
6. Step 6: Final answer
   x = 20,543.94