Finding the Third Proportional to 31,419 and 67,757.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,419 : 67,757.63 = 67,757.63 : x
2. Step 2: Convert to fraction form
   31,419/67,757.63 = 67,757.63/x
3. Step 3: Cross multiply
   31,419x = 67,757.63 × 67,757.63
4. Step 4: Simplify right side
   31,419x = 4,591,095,745.64
5. Step 5: Solve for x
   x = 4,591,095,745.64/31,419
6. Step 6: Final answer
   x = 146,124.82