Finding the Third Proportional to 36,504 and 53,456

Step by Step Solution

1. Step 1: Write the proportion equation
   36,504 : 53,456 = 53,456 : x
2. Step 2: Convert to fraction form
   36,504/53,456 = 53,456/x
3. Step 3: Cross multiply
   36,504x = 53,456 × 53,456
4. Step 4: Simplify right side
   36,504x = 2,857,543,936
5. Step 5: Solve for x
   x = 2,857,543,936/36,504
6. Step 6: Final answer
   x = 78,280.30