Finding the Third Proportional to 9,666 and 14,526

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 14,526 = 14,526 : x
2. Step 2: Convert to fraction form
   9,666/14,526 = 14,526/x
3. Step 3: Cross multiply
   9,666x = 14,526 × 14,526
4. Step 4: Simplify right side
   9,666x = 211,004,676
5. Step 5: Solve for x
   x = 211,004,676/9,666
6. Step 6: Final answer
   x = 21,829.58