Finding the Third Proportional to 31,797 and 49,266

Step by Step Solution

1. Step 1: Write the proportion equation
   31,797 : 49,266 = 49,266 : x
2. Step 2: Convert to fraction form
   31,797/49,266 = 49,266/x
3. Step 3: Cross multiply
   31,797x = 49,266 × 49,266
4. Step 4: Simplify right side
   31,797x = 2,427,138,756
5. Step 5: Solve for x
   x = 2,427,138,756/31,797
6. Step 6: Final answer
   x = 76,332.32