Finding the Third Proportional to 39,419 and 59,538

Step by Step Solution

1. Step 1: Write the proportion equation
   39,419 : 59,538 = 59,538 : x
2. Step 2: Convert to fraction form
   39,419/59,538 = 59,538/x
3. Step 3: Cross multiply
   39,419x = 59,538 × 59,538
4. Step 4: Simplify right side
   39,419x = 3,544,773,444
5. Step 5: Solve for x
   x = 3,544,773,444/39,419
6. Step 6: Final answer
   x = 89,925.50