Finding the Third Proportional to 31,033 and 67,466

Step by Step Solution

1. Step 1: Write the proportion equation
   31,033 : 67,466 = 67,466 : x
2. Step 2: Convert to fraction form
   31,033/67,466 = 67,466/x
3. Step 3: Cross multiply
   31,033x = 67,466 × 67,466
4. Step 4: Simplify right side
   31,033x = 4,551,661,156
5. Step 5: Solve for x
   x = 4,551,661,156/31,033
6. Step 6: Final answer
   x = 146,671.64