Finding the Third Proportional to 37,517 and 82,005

Step by Step Solution

1. Step 1: Write the proportion equation
   37,517 : 82,005 = 82,005 : x
2. Step 2: Convert to fraction form
   37,517/82,005 = 82,005/x
3. Step 3: Cross multiply
   37,517x = 82,005 × 82,005
4. Step 4: Simplify right side
   37,517x = 6,724,820,025
5. Step 5: Solve for x
   x = 6,724,820,025/37,517
6. Step 6: Final answer
   x = 179,247.28