Finding the Third Proportional to 3,384 and 5,670

Step by Step Solution

1. Step 1: Write the proportion equation
   3,384 : 5,670 = 5,670 : x
2. Step 2: Convert to fraction form
   3,384/5,670 = 5,670/x
3. Step 3: Cross multiply
   3,384x = 5,670 × 5,670
4. Step 4: Simplify right side
   3,384x = 32,148,900
5. Step 5: Solve for x
   x = 32,148,900/3,384
6. Step 6: Final answer
   x = 9,500.27