Finding the Third Proportional to 31,037 and 67,471

Step by Step Solution

1. Step 1: Write the proportion equation
   31,037 : 67,471 = 67,471 : x
2. Step 2: Convert to fraction form
   31,037/67,471 = 67,471/x
3. Step 3: Cross multiply
   31,037x = 67,471 × 67,471
4. Step 4: Simplify right side
   31,037x = 4,552,335,841
5. Step 5: Solve for x
   x = 4,552,335,841/31,037
6. Step 6: Final answer
   x = 146,674.48