Finding the Third Proportional to 11,892 and 13,172

Step by Step Solution

1. Step 1: Write the proportion equation
   11,892 : 13,172 = 13,172 : x
2. Step 2: Convert to fraction form
   11,892/13,172 = 13,172/x
3. Step 3: Cross multiply
   11,892x = 13,172 × 13,172
4. Step 4: Simplify right side
   11,892x = 173,501,584
5. Step 5: Solve for x
   x = 173,501,584/11,892
6. Step 6: Final answer
   x = 14,589.77