Finding the Third Proportional to 8,414 and 13,009

Step by Step Solution

1. Step 1: Write the proportion equation
   8,414 : 13,009 = 13,009 : x
2. Step 2: Convert to fraction form
   8,414/13,009 = 13,009/x
3. Step 3: Cross multiply
   8,414x = 13,009 × 13,009
4. Step 4: Simplify right side
   8,414x = 169,234,081
5. Step 5: Solve for x
   x = 169,234,081/8,414
6. Step 6: Final answer
   x = 20,113.39