Finding the Third Proportional to 6,304 and 13,405

Step by Step Solution

1. Step 1: Write the proportion equation
   6,304 : 13,405 = 13,405 : x
2. Step 2: Convert to fraction form
   6,304/13,405 = 13,405/x
3. Step 3: Cross multiply
   6,304x = 13,405 × 13,405
4. Step 4: Simplify right side
   6,304x = 179,694,025
5. Step 5: Solve for x
   x = 179,694,025/6,304
6. Step 6: Final answer
   x = 28,504.76