Finding the Third Proportional to 50,998 and 71,689

Step by Step Solution

1. Step 1: Write the proportion equation
   50,998 : 71,689 = 71,689 : x
2. Step 2: Convert to fraction form
   50,998/71,689 = 71,689/x
3. Step 3: Cross multiply
   50,998x = 71,689 × 71,689
4. Step 4: Simplify right side
   50,998x = 5,139,312,721
5. Step 5: Solve for x
   x = 5,139,312,721/50,998
6. Step 6: Final answer
   x = 100,774.79