Finding the Third Proportional to 11,696 and 12,872

Step by Step Solution

1. Step 1: Write the proportion equation
   11,696 : 12,872 = 12,872 : x
2. Step 2: Convert to fraction form
   11,696/12,872 = 12,872/x
3. Step 3: Cross multiply
   11,696x = 12,872 × 12,872
4. Step 4: Simplify right side
   11,696x = 165,688,384
5. Step 5: Solve for x
   x = 165,688,384/11,696
6. Step 6: Final answer
   x = 14,166.24