Finding the Third Proportional to 31,282 and 67,454

Step by Step Solution

1. Step 1: Write the proportion equation
   31,282 : 67,454 = 67,454 : x
2. Step 2: Convert to fraction form
   31,282/67,454 = 67,454/x
3. Step 3: Cross multiply
   31,282x = 67,454 × 67,454
4. Step 4: Simplify right side
   31,282x = 4,550,042,116
5. Step 5: Solve for x
   x = 4,550,042,116/31,282
6. Step 6: Final answer
   x = 145,452.40