Finding the Third Proportional to 31,401 and 71,010

Step by Step Solution

1. Step 1: Write the proportion equation
   31,401 : 71,010 = 71,010 : x
2. Step 2: Convert to fraction form
   31,401/71,010 = 71,010/x
3. Step 3: Cross multiply
   31,401x = 71,010 × 71,010
4. Step 4: Simplify right side
   31,401x = 5,042,420,100
5. Step 5: Solve for x
   x = 5,042,420,100/31,401
6. Step 6: Final answer
   x = 160,581.51