Finding the Third Proportional to 2,609 and 5,370

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609 : 5,370 = 5,370 : x
2. Step 2: Convert to fraction form
   2,609/5,370 = 5,370/x
3. Step 3: Cross multiply
   2,609x = 5,370 × 5,370
4. Step 4: Simplify right side
   2,609x = 28,836,900
5. Step 5: Solve for x
   x = 28,836,900/2,609
6. Step 6: Final answer
   x = 11,052.86