Finding the Third Proportional to 15,684 and 33,648

Step by Step Solution

1. Step 1: Write the proportion equation
   15,684 : 33,648 = 33,648 : x
2. Step 2: Convert to fraction form
   15,684/33,648 = 33,648/x
3. Step 3: Cross multiply
   15,684x = 33,648 × 33,648
4. Step 4: Simplify right side
   15,684x = 1,132,187,904
5. Step 5: Solve for x
   x = 1,132,187,904/15,684
6. Step 6: Final answer
   x = 72,187.45