Finding the Third Proportional to 34,605 and 53,441

Step by Step Solution

1. Step 1: Write the proportion equation
   34,605 : 53,441 = 53,441 : x
2. Step 2: Convert to fraction form
   34,605/53,441 = 53,441/x
3. Step 3: Cross multiply
   34,605x = 53,441 × 53,441
4. Step 4: Simplify right side
   34,605x = 2,855,940,481
5. Step 5: Solve for x
   x = 2,855,940,481/34,605
6. Step 6: Final answer
   x = 82,529.71