Finding the Third Proportional to 31,820 and 49,198

Step by Step Solution

1. Step 1: Write the proportion equation
   31,820 : 49,198 = 49,198 : x
2. Step 2: Convert to fraction form
   31,820/49,198 = 49,198/x
3. Step 3: Cross multiply
   31,820x = 49,198 × 49,198
4. Step 4: Simplify right side
   31,820x = 2,420,443,204
5. Step 5: Solve for x
   x = 2,420,443,204/31,820
6. Step 6: Final answer
   x = 76,066.73