Finding the Third Proportional to 9,800.25 and 14,469.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,800.25 : 14,469.38 = 14,469.38 : x
2. Step 2: Convert to fraction form
   9,800.25/14,469.38 = 14,469.38/x
3. Step 3: Cross multiply
   9,800.25x = 14,469.38 × 14,469.38
4. Step 4: Simplify right side
   9,800.25x = 209,362,812.89
5. Step 5: Solve for x
   x = 209,362,812.89/9,800.25
6. Step 6: Final answer
   x = 21,363.01