Finding the Third Proportional to 11,578 and 12,874

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578 : 12,874 = 12,874 : x
2. Step 2: Convert to fraction form
   11,578/12,874 = 12,874/x
3. Step 3: Cross multiply
   11,578x = 12,874 × 12,874
4. Step 4: Simplify right side
   11,578x = 165,739,876
5. Step 5: Solve for x
   x = 165,739,876/11,578
6. Step 6: Final answer
   x = 14,315.07