Finding the Third Proportional to 37,586 and 82,612

Step by Step Solution

1. Step 1: Write the proportion equation
   37,586 : 82,612 = 82,612 : x
2. Step 2: Convert to fraction form
   37,586/82,612 = 82,612/x
3. Step 3: Cross multiply
   37,586x = 82,612 × 82,612
4. Step 4: Simplify right side
   37,586x = 6,824,742,544
5. Step 5: Solve for x
   x = 6,824,742,544/37,586
6. Step 6: Final answer
   x = 181,576.72