Finding the Third Proportional to 39,826 and 57,570

Step by Step Solution

1. Step 1: Write the proportion equation
   39,826 : 57,570 = 57,570 : x
2. Step 2: Convert to fraction form
   39,826/57,570 = 57,570/x
3. Step 3: Cross multiply
   39,826x = 57,570 × 57,570
4. Step 4: Simplify right side
   39,826x = 3,314,304,900
5. Step 5: Solve for x
   x = 3,314,304,900/39,826
6. Step 6: Final answer
   x = 83,219.63