Finding the Third Proportional to 9,592 and 13,668

Step by Step Solution

1. Step 1: Write the proportion equation
   9,592 : 13,668 = 13,668 : x
2. Step 2: Convert to fraction form
   9,592/13,668 = 13,668/x
3. Step 3: Cross multiply
   9,592x = 13,668 × 13,668
4. Step 4: Simplify right side
   9,592x = 186,814,224
5. Step 5: Solve for x
   x = 186,814,224/9,592
6. Step 6: Final answer
   x = 19,476.05