Finding the Third Proportional to 17,736 and 39,648

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 39,648 = 39,648 : x
2. Step 2: Convert to fraction form
   17,736/39,648 = 39,648/x
3. Step 3: Cross multiply
   17,736x = 39,648 × 39,648
4. Step 4: Simplify right side
   17,736x = 1,571,963,904
5. Step 5: Solve for x
   x = 1,571,963,904/17,736
6. Step 6: Final answer
   x = 88,631.25