Finding the Third Proportional to 32,164 and 51,180

Step by Step Solution

1. Step 1: Write the proportion equation
   32,164 : 51,180 = 51,180 : x
2. Step 2: Convert to fraction form
   32,164/51,180 = 51,180/x
3. Step 3: Cross multiply
   32,164x = 51,180 × 51,180
4. Step 4: Simplify right side
   32,164x = 2,619,392,400
5. Step 5: Solve for x
   x = 2,619,392,400/32,164
6. Step 6: Final answer
   x = 81,438.64