Finding the Third Proportional to 9,675 and 14,099

Step by Step Solution

1. Step 1: Write the proportion equation
   9,675 : 14,099 = 14,099 : x
2. Step 2: Convert to fraction form
   9,675/14,099 = 14,099/x
3. Step 3: Cross multiply
   9,675x = 14,099 × 14,099
4. Step 4: Simplify right side
   9,675x = 198,781,801
5. Step 5: Solve for x
   x = 198,781,801/9,675
6. Step 6: Final answer
   x = 20,545.92