Finding the Third Proportional to 39,584 and 57,499

Step by Step Solution

1. Step 1: Write the proportion equation
   39,584 : 57,499 = 57,499 : x
2. Step 2: Convert to fraction form
   39,584/57,499 = 57,499/x
3. Step 3: Cross multiply
   39,584x = 57,499 × 57,499
4. Step 4: Simplify right side
   39,584x = 3,306,135,001
5. Step 5: Solve for x
   x = 3,306,135,001/39,584
6. Step 6: Final answer
   x = 83,522.00