Finding the Third Proportional to 43,422 and 57,357

Step by Step Solution

1. Step 1: Write the proportion equation
   43,422 : 57,357 = 57,357 : x
2. Step 2: Convert to fraction form
   43,422/57,357 = 57,357/x
3. Step 3: Cross multiply
   43,422x = 57,357 × 57,357
4. Step 4: Simplify right side
   43,422x = 3,289,825,449
5. Step 5: Solve for x
   x = 3,289,825,449/43,422
6. Step 6: Final answer
   x = 75,764.02