Finding the Third Proportional to 31,581 and 67,941

Step by Step Solution

1. Step 1: Write the proportion equation
   31,581 : 67,941 = 67,941 : x
2. Step 2: Convert to fraction form
   31,581/67,941 = 67,941/x
3. Step 3: Cross multiply
   31,581x = 67,941 × 67,941
4. Step 4: Simplify right side
   31,581x = 4,615,979,481
5. Step 5: Solve for x
   x = 4,615,979,481/31,581
6. Step 6: Final answer
   x = 146,163.18