Finding the Third Proportional to 35,899 and 50,306

Step by Step Solution

1. Step 1: Write the proportion equation
   35,899 : 50,306 = 50,306 : x
2. Step 2: Convert to fraction form
   35,899/50,306 = 50,306/x
3. Step 3: Cross multiply
   35,899x = 50,306 × 50,306
4. Step 4: Simplify right side
   35,899x = 2,530,693,636
5. Step 5: Solve for x
   x = 2,530,693,636/35,899
6. Step 6: Final answer
   x = 70,494.82