Finding the Third Proportional to 37,182 and 76,176

Step by Step Solution

1. Step 1: Write the proportion equation
   37,182 : 76,176 = 76,176 : x
2. Step 2: Convert to fraction form
   37,182/76,176 = 76,176/x
3. Step 3: Cross multiply
   37,182x = 76,176 × 76,176
4. Step 4: Simplify right side
   37,182x = 5,802,782,976
5. Step 5: Solve for x
   x = 5,802,782,976/37,182
6. Step 6: Final answer
   x = 156,064.30