Finding the Third Proportional to 10,492 and 14,618

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492 : 14,618 = 14,618 : x
2. Step 2: Convert to fraction form
   10,492/14,618 = 14,618/x
3. Step 3: Cross multiply
   10,492x = 14,618 × 14,618
4. Step 4: Simplify right side
   10,492x = 213,685,924
5. Step 5: Solve for x
   x = 213,685,924/10,492
6. Step 6: Final answer
   x = 20,366.56