Finding the Third Proportional to 31,537 and 67,357

Step by Step Solution

1. Step 1: Write the proportion equation
   31,537 : 67,357 = 67,357 : x
2. Step 2: Convert to fraction form
   31,537/67,357 = 67,357/x
3. Step 3: Cross multiply
   31,537x = 67,357 × 67,357
4. Step 4: Simplify right side
   31,537x = 4,536,965,449
5. Step 5: Solve for x
   x = 4,536,965,449/31,537
6. Step 6: Final answer
   x = 143,861.67