Finding the Third Proportional to 37,401 and 81,839

Step by Step Solution

1. Step 1: Write the proportion equation
   37,401 : 81,839 = 81,839 : x
2. Step 2: Convert to fraction form
   37,401/81,839 = 81,839/x
3. Step 3: Cross multiply
   37,401x = 81,839 × 81,839
4. Step 4: Simplify right side
   37,401x = 6,697,621,921
5. Step 5: Solve for x
   x = 6,697,621,921/37,401
6. Step 6: Final answer
   x = 179,076.01