Finding the Third Proportional to 2,709 and 5,622

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709 : 5,622 = 5,622 : x
2. Step 2: Convert to fraction form
   2,709/5,622 = 5,622/x
3. Step 3: Cross multiply
   2,709x = 5,622 × 5,622
4. Step 4: Simplify right side
   2,709x = 31,606,884
5. Step 5: Solve for x
   x = 31,606,884/2,709
6. Step 6: Final answer
   x = 11,667.36