Finding the Third Proportional to 11,540 and 12,740

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 12,740 = 12,740 : x
2. Step 2: Convert to fraction form
   11,540/12,740 = 12,740/x
3. Step 3: Cross multiply
   11,540x = 12,740 × 12,740
4. Step 4: Simplify right side
   11,540x = 162,307,600
5. Step 5: Solve for x
   x = 162,307,600/11,540
6. Step 6: Final answer
   x = 14,064.78