Finding the Third Proportional to 6,740 and 9,142

Step by Step Solution

1. Step 1: Write the proportion equation
   6,740 : 9,142 = 9,142 : x
2. Step 2: Convert to fraction form
   6,740/9,142 = 9,142/x
3. Step 3: Cross multiply
   6,740x = 9,142 × 9,142
4. Step 4: Simplify right side
   6,740x = 83,576,164
5. Step 5: Solve for x
   x = 83,576,164/6,740
6. Step 6: Final answer
   x = 12,400.02