Finding the Third Proportional to 33,684 and 52,842

Step by Step Solution

1. Step 1: Write the proportion equation
   33,684 : 52,842 = 52,842 : x
2. Step 2: Convert to fraction form
   33,684/52,842 = 52,842/x
3. Step 3: Cross multiply
   33,684x = 52,842 × 52,842
4. Step 4: Simplify right side
   33,684x = 2,792,276,964
5. Step 5: Solve for x
   x = 2,792,276,964/33,684
6. Step 6: Final answer
   x = 82,896.24