Finding the Third Proportional to 32,180 and 51,182

Step by Step Solution

1. Step 1: Write the proportion equation
   32,180 : 51,182 = 51,182 : x
2. Step 2: Convert to fraction form
   32,180/51,182 = 51,182/x
3. Step 3: Cross multiply
   32,180x = 51,182 × 51,182
4. Step 4: Simplify right side
   32,180x = 2,619,597,124
5. Step 5: Solve for x
   x = 2,619,597,124/32,180
6. Step 6: Final answer
   x = 81,404.51