Finding the Third Proportional to 32,112 and 51,142

Step by Step Solution

1. Step 1: Write the proportion equation
   32,112 : 51,142 = 51,142 : x
2. Step 2: Convert to fraction form
   32,112/51,142 = 51,142/x
3. Step 3: Cross multiply
   32,112x = 51,142 × 51,142
4. Step 4: Simplify right side
   32,112x = 2,615,504,164
5. Step 5: Solve for x
   x = 2,615,504,164/32,112
6. Step 6: Final answer
   x = 81,449.43