Finding the Third Proportional to 33,686 and 50,998

Step by Step Solution

1. Step 1: Write the proportion equation
   33,686 : 50,998 = 50,998 : x
2. Step 2: Convert to fraction form
   33,686/50,998 = 50,998/x
3. Step 3: Cross multiply
   33,686x = 50,998 × 50,998
4. Step 4: Simplify right side
   33,686x = 2,600,796,004
5. Step 5: Solve for x
   x = 2,600,796,004/33,686
6. Step 6: Final answer
   x = 77,207.03