Finding the Third Proportional to 39,419 and 57,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,419 : 57,661.50 = 57,661.50 : x
2. Step 2: Convert to fraction form
   39,419/57,661.50 = 57,661.50/x
3. Step 3: Cross multiply
   39,419x = 57,661.50 × 57,661.50
4. Step 4: Simplify right side
   39,419x = 3,324,848,582.25
5. Step 5: Solve for x
   x = 3,324,848,582.25/39,419
6. Step 6: Final answer
   x = 84,346.35