Finding the Third Proportional to 31,084 and 41,982

Step by Step Solution

1. Step 1: Write the proportion equation
   31,084 : 41,982 = 41,982 : x
2. Step 2: Convert to fraction form
   31,084/41,982 = 41,982/x
3. Step 3: Cross multiply
   31,084x = 41,982 × 41,982
4. Step 4: Simplify right side
   31,084x = 1,762,488,324
5. Step 5: Solve for x
   x = 1,762,488,324/31,084
6. Step 6: Final answer
   x = 56,700.82