Finding the Third Proportional to 50,996 and 71,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,996 : 71,686.50 = 71,686.50 : x
2. Step 2: Convert to fraction form
   50,996/71,686.50 = 71,686.50/x
3. Step 3: Cross multiply
   50,996x = 71,686.50 × 71,686.50
4. Step 4: Simplify right side
   50,996x = 5,138,954,282.25
5. Step 5: Solve for x
   x = 5,138,954,282.25/50,996
6. Step 6: Final answer
   x = 100,771.71