Finding the Third Proportional to 37,434 and 82,401

Step by Step Solution

1. Step 1: Write the proportion equation
   37,434 : 82,401 = 82,401 : x
2. Step 2: Convert to fraction form
   37,434/82,401 = 82,401/x
3. Step 3: Cross multiply
   37,434x = 82,401 × 82,401
4. Step 4: Simplify right side
   37,434x = 6,789,924,801
5. Step 5: Solve for x
   x = 6,789,924,801/37,434
6. Step 6: Final answer
   x = 181,383.90