Finding the Third Proportional to 12,172 and 16,182

Step by Step Solution

1. Step 1: Write the proportion equation
   12,172 : 16,182 = 16,182 : x
2. Step 2: Convert to fraction form
   12,172/16,182 = 16,182/x
3. Step 3: Cross multiply
   12,172x = 16,182 × 16,182
4. Step 4: Simplify right side
   12,172x = 261,857,124
5. Step 5: Solve for x
   x = 261,857,124/12,172
6. Step 6: Final answer
   x = 21,513.07