Finding the Third Proportional to 31,462 and 67,225

Step by Step Solution

1. Step 1: Write the proportion equation
   31,462 : 67,225 = 67,225 : x
2. Step 2: Convert to fraction form
   31,462/67,225 = 67,225/x
3. Step 3: Cross multiply
   31,462x = 67,225 × 67,225
4. Step 4: Simplify right side
   31,462x = 4,519,200,625
5. Step 5: Solve for x
   x = 4,519,200,625/31,462
6. Step 6: Final answer
   x = 143,639.97