Finding the Third Proportional to 50,999 and 71,690

Step by Step Solution

1. Step 1: Write the proportion equation
   50,999 : 71,690 = 71,690 : x
2. Step 2: Convert to fraction form
   50,999/71,690 = 71,690/x
3. Step 3: Cross multiply
   50,999x = 71,690 × 71,690
4. Step 4: Simplify right side
   50,999x = 5,139,456,100
5. Step 5: Solve for x
   x = 5,139,456,100/50,999
6. Step 6: Final answer
   x = 100,775.63