Finding the Third Proportional to 31,206 and 67,701

Step by Step Solution

1. Step 1: Write the proportion equation
   31,206 : 67,701 = 67,701 : x
2. Step 2: Convert to fraction form
   31,206/67,701 = 67,701/x
3. Step 3: Cross multiply
   31,206x = 67,701 × 67,701
4. Step 4: Simplify right side
   31,206x = 4,583,425,401
5. Step 5: Solve for x
   x = 4,583,425,401/31,206
6. Step 6: Final answer
   x = 146,876.41