Finding the Third Proportional to 31,168 and 67,520

Step by Step Solution

1. Step 1: Write the proportion equation
   31,168 : 67,520 = 67,520 : x
2. Step 2: Convert to fraction form
   31,168/67,520 = 67,520/x
3. Step 3: Cross multiply
   31,168x = 67,520 × 67,520
4. Step 4: Simplify right side
   31,168x = 4,558,950,400
5. Step 5: Solve for x
   x = 4,558,950,400/31,168
6. Step 6: Final answer
   x = 146,270.23