Finding the Third Proportional to 37,996 and 82,483

Step by Step Solution

1. Step 1: Write the proportion equation
   37,996 : 82,483 = 82,483 : x
2. Step 2: Convert to fraction form
   37,996/82,483 = 82,483/x
3. Step 3: Cross multiply
   37,996x = 82,483 × 82,483
4. Step 4: Simplify right side
   37,996x = 6,803,445,289
5. Step 5: Solve for x
   x = 6,803,445,289/37,996
6. Step 6: Final answer
   x = 179,056.88