Finding the Third Proportional to 50,322 and 75,993

Step by Step Solution

1. Step 1: Write the proportion equation
   50,322 : 75,993 = 75,993 : x
2. Step 2: Convert to fraction form
   50,322/75,993 = 75,993/x
3. Step 3: Cross multiply
   50,322x = 75,993 × 75,993
4. Step 4: Simplify right side
   50,322x = 5,774,936,049
5. Step 5: Solve for x
   x = 5,774,936,049/50,322
6. Step 6: Final answer
   x = 114,759.67