Finding the Third Proportional to 10,492 and 13,546

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492 : 13,546 = 13,546 : x
2. Step 2: Convert to fraction form
   10,492/13,546 = 13,546/x
3. Step 3: Cross multiply
   10,492x = 13,546 × 13,546
4. Step 4: Simplify right side
   10,492x = 183,494,116
5. Step 5: Solve for x
   x = 183,494,116/10,492
6. Step 6: Final answer
   x = 17,488.96