Finding the Third Proportional to 11,596 and 12,684

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596 : 12,684 = 12,684 : x
2. Step 2: Convert to fraction form
   11,596/12,684 = 12,684/x
3. Step 3: Cross multiply
   11,596x = 12,684 × 12,684
4. Step 4: Simplify right side
   11,596x = 160,883,856
5. Step 5: Solve for x
   x = 160,883,856/11,596
6. Step 6: Final answer
   x = 13,874.08