Finding the Third Proportional to 35,986 and 50,322

Step by Step Solution

1. Step 1: Write the proportion equation
   35,986 : 50,322 = 50,322 : x
2. Step 2: Convert to fraction form
   35,986/50,322 = 50,322/x
3. Step 3: Cross multiply
   35,986x = 50,322 × 50,322
4. Step 4: Simplify right side
   35,986x = 2,532,303,684
5. Step 5: Solve for x
   x = 2,532,303,684/35,986
6. Step 6: Final answer
   x = 70,369.13