Finding the Third Proportional to 11,766 and 12,996

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 12,996 = 12,996 : x
2. Step 2: Convert to fraction form
   11,766/12,996 = 12,996/x
3. Step 3: Cross multiply
   11,766x = 12,996 × 12,996
4. Step 4: Simplify right side
   11,766x = 168,896,016
5. Step 5: Solve for x
   x = 168,896,016/11,766
6. Step 6: Final answer
   x = 14,354.58