Finding the Third Proportional to 40,128 and 53,616

Step by Step Solution

1. Step 1: Write the proportion equation
   40,128 : 53,616 = 53,616 : x
2. Step 2: Convert to fraction form
   40,128/53,616 = 53,616/x
3. Step 3: Cross multiply
   40,128x = 53,616 × 53,616
4. Step 4: Simplify right side
   40,128x = 2,874,675,456
5. Step 5: Solve for x
   x = 2,874,675,456/40,128
6. Step 6: Final answer
   x = 71,637.65