Finding the Third Proportional to 36,826 and 57,419

Step by Step Solution

1. Step 1: Write the proportion equation
   36,826 : 57,419 = 57,419 : x
2. Step 2: Convert to fraction form
   36,826/57,419 = 57,419/x
3. Step 3: Cross multiply
   36,826x = 57,419 × 57,419
4. Step 4: Simplify right side
   36,826x = 3,296,941,561
5. Step 5: Solve for x
   x = 3,296,941,561/36,826
6. Step 6: Final answer
   x = 89,527.55