Finding the Third Proportional to 30,540 and 67,641

Step by Step Solution

1. Step 1: Write the proportion equation
   30,540 : 67,641 = 67,641 : x
2. Step 2: Convert to fraction form
   30,540/67,641 = 67,641/x
3. Step 3: Cross multiply
   30,540x = 67,641 × 67,641
4. Step 4: Simplify right side
   30,540x = 4,575,304,881
5. Step 5: Solve for x
   x = 4,575,304,881/30,540
6. Step 6: Final answer
   x = 149,813.52