Finding the Third Proportional to 2,740 and 4,406

Step by Step Solution

1. Step 1: Write the proportion equation
   2,740 : 4,406 = 4,406 : x
2. Step 2: Convert to fraction form
   2,740/4,406 = 4,406/x
3. Step 3: Cross multiply
   2,740x = 4,406 × 4,406
4. Step 4: Simplify right side
   2,740x = 19,412,836
5. Step 5: Solve for x
   x = 19,412,836/2,740
6. Step 6: Final answer
   x = 7,084.98