Finding the Third Proportional to 32,400 and 41,401

Step by Step Solution

1. Step 1: Write the proportion equation
   32,400 : 41,401 = 41,401 : x
2. Step 2: Convert to fraction form
   32,400/41,401 = 41,401/x
3. Step 3: Cross multiply
   32,400x = 41,401 × 41,401
4. Step 4: Simplify right side
   32,400x = 1,714,042,801
5. Step 5: Solve for x
   x = 1,714,042,801/32,400
6. Step 6: Final answer
   x = 52,902.56