Finding the Third Proportional to 10,530 and 16,182

Step by Step Solution

1. Step 1: Write the proportion equation
   10,530 : 16,182 = 16,182 : x
2. Step 2: Convert to fraction form
   10,530/16,182 = 16,182/x
3. Step 3: Cross multiply
   10,530x = 16,182 × 16,182
4. Step 4: Simplify right side
   10,530x = 261,857,124
5. Step 5: Solve for x
   x = 261,857,124/10,530
6. Step 6: Final answer
   x = 24,867.72