Finding the Third Proportional to 21,839 and 46,792

Step by Step Solution

1. Step 1: Write the proportion equation
   21,839 : 46,792 = 46,792 : x
2. Step 2: Convert to fraction form
   21,839/46,792 = 46,792/x
3. Step 3: Cross multiply
   21,839x = 46,792 × 46,792
4. Step 4: Simplify right side
   21,839x = 2,189,491,264
5. Step 5: Solve for x
   x = 2,189,491,264/21,839
6. Step 6: Final answer
   x = 100,256.02