Finding the Third Proportional to 19,684 and 42,824

Step by Step Solution

1. Step 1: Write the proportion equation
   19,684 : 42,824 = 42,824 : x
2. Step 2: Convert to fraction form
   19,684/42,824 = 42,824/x
3. Step 3: Cross multiply
   19,684x = 42,824 × 42,824
4. Step 4: Simplify right side
   19,684x = 1,833,894,976
5. Step 5: Solve for x
   x = 1,833,894,976/19,684
6. Step 6: Final answer
   x = 93,166.78