Finding the Third Proportional to 9,182 and 19,792

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182 : 19,792 = 19,792 : x
2. Step 2: Convert to fraction form
   9,182/19,792 = 19,792/x
3. Step 3: Cross multiply
   9,182x = 19,792 × 19,792
4. Step 4: Simplify right side
   9,182x = 391,723,264
5. Step 5: Solve for x
   x = 391,723,264/9,182
6. Step 6: Final answer
   x = 42,662.08