Finding the Third Proportional to 31,623 and 67,893

Step by Step Solution

1. Step 1: Write the proportion equation
   31,623 : 67,893 = 67,893 : x
2. Step 2: Convert to fraction form
   31,623/67,893 = 67,893/x
3. Step 3: Cross multiply
   31,623x = 67,893 × 67,893
4. Step 4: Simplify right side
   31,623x = 4,609,459,449
5. Step 5: Solve for x
   x = 4,609,459,449/31,623
6. Step 6: Final answer
   x = 145,762.88