Finding the Third Proportional to 9,800 and 14,009

Step by Step Solution

1. Step 1: Write the proportion equation
   9,800 : 14,009 = 14,009 : x
2. Step 2: Convert to fraction form
   9,800/14,009 = 14,009/x
3. Step 3: Cross multiply
   9,800x = 14,009 × 14,009
4. Step 4: Simplify right side
   9,800x = 196,252,081
5. Step 5: Solve for x
   x = 196,252,081/9,800
6. Step 6: Final answer
   x = 20,025.72