Finding the Third Proportional to 31,498 and 50,751

Step by Step Solution

1. Step 1: Write the proportion equation
   31,498 : 50,751 = 50,751 : x
2. Step 2: Convert to fraction form
   31,498/50,751 = 50,751/x
3. Step 3: Cross multiply
   31,498x = 50,751 × 50,751
4. Step 4: Simplify right side
   31,498x = 2,575,664,001
5. Step 5: Solve for x
   x = 2,575,664,001/31,498
6. Step 6: Final answer
   x = 81,772.30