Finding the Third Proportional to 31,857 and 67,509

Step by Step Solution

1. Step 1: Write the proportion equation
   31,857 : 67,509 = 67,509 : x
2. Step 2: Convert to fraction form
   31,857/67,509 = 67,509/x
3. Step 3: Cross multiply
   31,857x = 67,509 × 67,509
4. Step 4: Simplify right side
   31,857x = 4,557,465,081
5. Step 5: Solve for x
   x = 4,557,465,081/31,857
6. Step 6: Final answer
   x = 143,060.08