Finding the Third Proportional to 32,112 and 74,976

Step by Step Solution

1. Step 1: Write the proportion equation
   32,112 : 74,976 = 74,976 : x
2. Step 2: Convert to fraction form
   32,112/74,976 = 74,976/x
3. Step 3: Cross multiply
   32,112x = 74,976 × 74,976
4. Step 4: Simplify right side
   32,112x = 5,621,400,576
5. Step 5: Solve for x
   x = 5,621,400,576/32,112
6. Step 6: Final answer
   x = 175,056.07