Finding the Third Proportional to 37,536 and 82,524

Step by Step Solution

1. Step 1: Write the proportion equation
   37,536 : 82,524 = 82,524 : x
2. Step 2: Convert to fraction form
   37,536/82,524 = 82,524/x
3. Step 3: Cross multiply
   37,536x = 82,524 × 82,524
4. Step 4: Simplify right side
   37,536x = 6,810,210,576
5. Step 5: Solve for x
   x = 6,810,210,576/37,536
6. Step 6: Final answer
   x = 181,431.44