Finding the Third Proportional to 37,519 and 82,008

Step by Step Solution

1. Step 1: Write the proportion equation
   37,519 : 82,008 = 82,008 : x
2. Step 2: Convert to fraction form
   37,519/82,008 = 82,008/x
3. Step 3: Cross multiply
   37,519x = 82,008 × 82,008
4. Step 4: Simplify right side
   37,519x = 6,725,312,064
5. Step 5: Solve for x
   x = 6,725,312,064/37,519
6. Step 6: Final answer
   x = 179,250.83