Finding the Third Proportional to 10,492 and 14,668

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492 : 14,668 = 14,668 : x
2. Step 2: Convert to fraction form
   10,492/14,668 = 14,668/x
3. Step 3: Cross multiply
   10,492x = 14,668 × 14,668
4. Step 4: Simplify right side
   10,492x = 215,150,224
5. Step 5: Solve for x
   x = 215,150,224/10,492
6. Step 6: Final answer
   x = 20,506.12