Finding the Third Proportional to 53,504 and 82,801

Step by Step Solution

1. Step 1: Write the proportion equation
   53,504 : 82,801 = 82,801 : x
2. Step 2: Convert to fraction form
   53,504/82,801 = 82,801/x
3. Step 3: Cross multiply
   53,504x = 82,801 × 82,801
4. Step 4: Simplify right side
   53,504x = 6,856,005,601
5. Step 5: Solve for x
   x = 6,856,005,601/53,504
6. Step 6: Final answer
   x = 128,140.06