Finding the Third Proportional to 39,396 and 57,401

Step by Step Solution

1. Step 1: Write the proportion equation
   39,396 : 57,401 = 57,401 : x
2. Step 2: Convert to fraction form
   39,396/57,401 = 57,401/x
3. Step 3: Cross multiply
   39,396x = 57,401 × 57,401
4. Step 4: Simplify right side
   39,396x = 3,294,874,801
5. Step 5: Solve for x
   x = 3,294,874,801/39,396
6. Step 6: Final answer
   x = 83,634.75