Finding the Third Proportional to 37,514 and 82,000

Step by Step Solution

1. Step 1: Write the proportion equation
   37,514 : 82,000 = 82,000 : x
2. Step 2: Convert to fraction form
   37,514/82,000 = 82,000/x
3. Step 3: Cross multiply
   37,514x = 82,000 × 82,000
4. Step 4: Simplify right side
   37,514x = 6,724,000,000
5. Step 5: Solve for x
   x = 6,724,000,000/37,514
6. Step 6: Final answer
   x = 179,239.75