Finding the Third Proportional to 31,882 and 40,424

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882 : 40,424 = 40,424 : x
2. Step 2: Convert to fraction form
   31,882/40,424 = 40,424/x
3. Step 3: Cross multiply
   31,882x = 40,424 × 40,424
4. Step 4: Simplify right side
   31,882x = 1,634,099,776
5. Step 5: Solve for x
   x = 1,634,099,776/31,882
6. Step 6: Final answer
   x = 51,254.62