Finding the Third Proportional to 10,492 and 19,304

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492 : 19,304 = 19,304 : x
2. Step 2: Convert to fraction form
   10,492/19,304 = 19,304/x
3. Step 3: Cross multiply
   10,492x = 19,304 × 19,304
4. Step 4: Simplify right side
   10,492x = 372,644,416
5. Step 5: Solve for x
   x = 372,644,416/10,492
6. Step 6: Final answer
   x = 35,517.00