Finding the Third Proportional to 8,740 and 10,540

Step by Step Solution

1. Step 1: Write the proportion equation
   8,740 : 10,540 = 10,540 : x
2. Step 2: Convert to fraction form
   8,740/10,540 = 10,540/x
3. Step 3: Cross multiply
   8,740x = 10,540 × 10,540
4. Step 4: Simplify right side
   8,740x = 111,091,600
5. Step 5: Solve for x
   x = 111,091,600/8,740
6. Step 6: Final answer
   x = 12,710.71