Finding the Third Proportional to 37,392 and 82,049

Step by Step Solution

1. Step 1: Write the proportion equation
   37,392 : 82,049 = 82,049 : x
2. Step 2: Convert to fraction form
   37,392/82,049 = 82,049/x
3. Step 3: Cross multiply
   37,392x = 82,049 × 82,049
4. Step 4: Simplify right side
   37,392x = 6,732,038,401
5. Step 5: Solve for x
   x = 6,732,038,401/37,392
6. Step 6: Final answer
   x = 180,039.54