Finding the Third Proportional to 39,422 and 57,666

Step by Step Solution

1. Step 1: Write the proportion equation
   39,422 : 57,666 = 57,666 : x
2. Step 2: Convert to fraction form
   39,422/57,666 = 57,666/x
3. Step 3: Cross multiply
   39,422x = 57,666 × 57,666
4. Step 4: Simplify right side
   39,422x = 3,325,367,556
5. Step 5: Solve for x
   x = 3,325,367,556/39,422
6. Step 6: Final answer
   x = 84,353.09