Finding the Third Proportional to 11,800 and 16,172

Step by Step Solution

1. Step 1: Write the proportion equation
   11,800 : 16,172 = 16,172 : x
2. Step 2: Convert to fraction form
   11,800/16,172 = 16,172/x
3. Step 3: Cross multiply
   11,800x = 16,172 × 16,172
4. Step 4: Simplify right side
   11,800x = 261,533,584
5. Step 5: Solve for x
   x = 261,533,584/11,800
6. Step 6: Final answer
   x = 22,163.86