Finding the Third Proportional to 2,009 and 5,410

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009 : 5,410 = 5,410 : x
2. Step 2: Convert to fraction form
   2,009/5,410 = 5,410/x
3. Step 3: Cross multiply
   2,009x = 5,410 × 5,410
4. Step 4: Simplify right side
   2,009x = 29,268,100
5. Step 5: Solve for x
   x = 29,268,100/2,009
6. Step 6: Final answer
   x = 14,568.49