Finding the Third Proportional to 13,238 and 19,792

Step by Step Solution

1. Step 1: Write the proportion equation
   13,238 : 19,792 = 19,792 : x
2. Step 2: Convert to fraction form
   13,238/19,792 = 19,792/x
3. Step 3: Cross multiply
   13,238x = 19,792 × 19,792
4. Step 4: Simplify right side
   13,238x = 391,723,264
5. Step 5: Solve for x
   x = 391,723,264/13,238
6. Step 6: Final answer
   x = 29,590.82