Finding the Third Proportional to 31,414 and 41,288

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414 : 41,288 = 41,288 : x
2. Step 2: Convert to fraction form
   31,414/41,288 = 41,288/x
3. Step 3: Cross multiply
   31,414x = 41,288 × 41,288
4. Step 4: Simplify right side
   31,414x = 1,704,698,944
5. Step 5: Solve for x
   x = 1,704,698,944/31,414
6. Step 6: Final answer
   x = 54,265.58