Finding the Third Proportional to 31,434 and 41,966

Step by Step Solution

1. Step 1: Write the proportion equation
   31,434 : 41,966 = 41,966 : x
2. Step 2: Convert to fraction form
   31,434/41,966 = 41,966/x
3. Step 3: Cross multiply
   31,434x = 41,966 × 41,966
4. Step 4: Simplify right side
   31,434x = 1,761,145,156
5. Step 5: Solve for x
   x = 1,761,145,156/31,434
6. Step 6: Final answer
   x = 56,026.76