Finding the Third Proportional to 9,689 and 14,250

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689 : 14,250 = 14,250 : x
2. Step 2: Convert to fraction form
   9,689/14,250 = 14,250/x
3. Step 3: Cross multiply
   9,689x = 14,250 × 14,250
4. Step 4: Simplify right side
   9,689x = 203,062,500
5. Step 5: Solve for x
   x = 203,062,500/9,689
6. Step 6: Final answer
   x = 20,958.05