Finding the Third Proportional to 32,180 and 51,076

Step by Step Solution

1. Step 1: Write the proportion equation
   32,180 : 51,076 = 51,076 : x
2. Step 2: Convert to fraction form
   32,180/51,076 = 51,076/x
3. Step 3: Cross multiply
   32,180x = 51,076 × 51,076
4. Step 4: Simplify right side
   32,180x = 2,608,757,776
5. Step 5: Solve for x
   x = 2,608,757,776/32,180
6. Step 6: Final answer
   x = 81,067.67