Finding the Third Proportional to 31,500 and 49,302

Step by Step Solution

1. Step 1: Write the proportion equation
   31,500 : 49,302 = 49,302 : x
2. Step 2: Convert to fraction form
   31,500/49,302 = 49,302/x
3. Step 3: Cross multiply
   31,500x = 49,302 × 49,302
4. Step 4: Simplify right side
   31,500x = 2,430,687,204
5. Step 5: Solve for x
   x = 2,430,687,204/31,500
6. Step 6: Final answer
   x = 77,164.67