Finding the Third Proportional to 34,487 and 53,419

Step by Step Solution

1. Step 1: Write the proportion equation
   34,487 : 53,419 = 53,419 : x
2. Step 2: Convert to fraction form
   34,487/53,419 = 53,419/x
3. Step 3: Cross multiply
   34,487x = 53,419 × 53,419
4. Step 4: Simplify right side
   34,487x = 2,853,589,561
5. Step 5: Solve for x
   x = 2,853,589,561/34,487
6. Step 6: Final answer
   x = 82,743.92