Finding the Third Proportional to 37,524 and 59,419

Step by Step Solution

1. Step 1: Write the proportion equation
   37,524 : 59,419 = 59,419 : x
2. Step 2: Convert to fraction form
   37,524/59,419 = 59,419/x
3. Step 3: Cross multiply
   37,524x = 59,419 × 59,419
4. Step 4: Simplify right side
   37,524x = 3,530,617,561
5. Step 5: Solve for x
   x = 3,530,617,561/37,524
6. Step 6: Final answer
   x = 94,089.58