Finding the Third Proportional to 10,756 and 11,740

Step by Step Solution

1. Step 1: Write the proportion equation
   10,756 : 11,740 = 11,740 : x
2. Step 2: Convert to fraction form
   10,756/11,740 = 11,740/x
3. Step 3: Cross multiply
   10,756x = 11,740 × 11,740
4. Step 4: Simplify right side
   10,756x = 137,827,600
5. Step 5: Solve for x
   x = 137,827,600/10,756
6. Step 6: Final answer
   x = 12,814.02