Finding the Third Proportional to 40,419 and 57,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,419 : 57,757.50 = 57,757.50 : x
2. Step 2: Convert to fraction form
   40,419/57,757.50 = 57,757.50/x
3. Step 3: Cross multiply
   40,419x = 57,757.50 × 57,757.50
4. Step 4: Simplify right side
   40,419x = 3,335,928,806.25
5. Step 5: Solve for x
   x = 3,335,928,806.25/40,419
6. Step 6: Final answer
   x = 82,533.68