Finding the Third Proportional to 9,666 and 15,156

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 15,156 = 15,156 : x
2. Step 2: Convert to fraction form
   9,666/15,156 = 15,156/x
3. Step 3: Cross multiply
   9,666x = 15,156 × 15,156
4. Step 4: Simplify right side
   9,666x = 229,704,336
5. Step 5: Solve for x
   x = 229,704,336/9,666
6. Step 6: Final answer
   x = 23,764.16