Finding the Third Proportional to 31,411 and 67,743

Step by Step Solution

1. Step 1: Write the proportion equation
   31,411 : 67,743 = 67,743 : x
2. Step 2: Convert to fraction form
   31,411/67,743 = 67,743/x
3. Step 3: Cross multiply
   31,411x = 67,743 × 67,743
4. Step 4: Simplify right side
   31,411x = 4,589,114,049
5. Step 5: Solve for x
   x = 4,589,114,049/31,411
6. Step 6: Final answer
   x = 146,098.95