Finding the Third Proportional to 30,801 and 67,663

Step by Step Solution

1. Step 1: Write the proportion equation
   30,801 : 67,663 = 67,663 : x
2. Step 2: Convert to fraction form
   30,801/67,663 = 67,663/x
3. Step 3: Cross multiply
   30,801x = 67,663 × 67,663
4. Step 4: Simplify right side
   30,801x = 4,578,281,569
5. Step 5: Solve for x
   x = 4,578,281,569/30,801
6. Step 6: Final answer
   x = 148,640.68