Finding the Third Proportional to 3,185 and 5,740

Step by Step Solution

1. Step 1: Write the proportion equation
   3,185 : 5,740 = 5,740 : x
2. Step 2: Convert to fraction form
   3,185/5,740 = 5,740/x
3. Step 3: Cross multiply
   3,185x = 5,740 × 5,740
4. Step 4: Simplify right side
   3,185x = 32,947,600
5. Step 5: Solve for x
   x = 32,947,600/3,185
6. Step 6: Final answer
   x = 10,344.62