Finding the Third Proportional to 19,792 and 42,706

Step by Step Solution

1. Step 1: Write the proportion equation
   19,792 : 42,706 = 42,706 : x
2. Step 2: Convert to fraction form
   19,792/42,706 = 42,706/x
3. Step 3: Cross multiply
   19,792x = 42,706 × 42,706
4. Step 4: Simplify right side
   19,792x = 1,823,802,436
5. Step 5: Solve for x
   x = 1,823,802,436/19,792
6. Step 6: Final answer
   x = 92,148.47