Finding the Third Proportional to 9,666 and 14,607

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 14,607 = 14,607 : x
2. Step 2: Convert to fraction form
   9,666/14,607 = 14,607/x
3. Step 3: Cross multiply
   9,666x = 14,607 × 14,607
4. Step 4: Simplify right side
   9,666x = 213,364,449
5. Step 5: Solve for x
   x = 213,364,449/9,666
6. Step 6: Final answer
   x = 22,073.71