Finding the Third Proportional to 31,011 and 67,641

Step by Step Solution

1. Step 1: Write the proportion equation
   31,011 : 67,641 = 67,641 : x
2. Step 2: Convert to fraction form
   31,011/67,641 = 67,641/x
3. Step 3: Cross multiply
   31,011x = 67,641 × 67,641
4. Step 4: Simplify right side
   31,011x = 4,575,304,881
5. Step 5: Solve for x
   x = 4,575,304,881/31,011
6. Step 6: Final answer
   x = 147,538.13