Finding the Third Proportional to 9,576 and 12,834

Step by Step Solution

1. Step 1: Write the proportion equation
   9,576 : 12,834 = 12,834 : x
2. Step 2: Convert to fraction form
   9,576/12,834 = 12,834/x
3. Step 3: Cross multiply
   9,576x = 12,834 × 12,834
4. Step 4: Simplify right side
   9,576x = 164,711,556
5. Step 5: Solve for x
   x = 164,711,556/9,576
6. Step 6: Final answer
   x = 17,200.45