Finding the Third Proportional to 31,812 and 41,846

Step by Step Solution

1. Step 1: Write the proportion equation
   31,812 : 41,846 = 41,846 : x
2. Step 2: Convert to fraction form
   31,812/41,846 = 41,846/x
3. Step 3: Cross multiply
   31,812x = 41,846 × 41,846
4. Step 4: Simplify right side
   31,812x = 1,751,087,716
5. Step 5: Solve for x
   x = 1,751,087,716/31,812
6. Step 6: Final answer
   x = 55,044.88