Finding the Third Proportional to 9,606 and 13,329

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606 : 13,329 = 13,329 : x
2. Step 2: Convert to fraction form
   9,606/13,329 = 13,329/x
3. Step 3: Cross multiply
   9,606x = 13,329 × 13,329
4. Step 4: Simplify right side
   9,606x = 177,662,241
5. Step 5: Solve for x
   x = 177,662,241/9,606
6. Step 6: Final answer
   x = 18,494.92