Finding the Third Proportional to 31,286 and 67,462

Step by Step Solution

1. Step 1: Write the proportion equation
   31,286 : 67,462 = 67,462 : x
2. Step 2: Convert to fraction form
   31,286/67,462 = 67,462/x
3. Step 3: Cross multiply
   31,286x = 67,462 × 67,462
4. Step 4: Simplify right side
   31,286x = 4,551,121,444
5. Step 5: Solve for x
   x = 4,551,121,444/31,286
6. Step 6: Final answer
   x = 145,468.31