Finding the Third Proportional to 11,876 and 16,262

Step by Step Solution

1. Step 1: Write the proportion equation
   11,876 : 16,262 = 16,262 : x
2. Step 2: Convert to fraction form
   11,876/16,262 = 16,262/x
3. Step 3: Cross multiply
   11,876x = 16,262 × 16,262
4. Step 4: Simplify right side
   11,876x = 264,452,644
5. Step 5: Solve for x
   x = 264,452,644/11,876
6. Step 6: Final answer
   x = 22,267.82