Finding the Third Proportional to 47,400 and 71,401

Step by Step Solution

1. Step 1: Write the proportion equation
   47,400 : 71,401 = 71,401 : x
2. Step 2: Convert to fraction form
   47,400/71,401 = 71,401/x
3. Step 3: Cross multiply
   47,400x = 71,401 × 71,401
4. Step 4: Simplify right side
   47,400x = 5,098,102,801
5. Step 5: Solve for x
   x = 5,098,102,801/47,400
6. Step 6: Final answer
   x = 107,554.91