Finding the Third Proportional to 42,684 and 57,112

Step by Step Solution

1. Step 1: Write the proportion equation
   42,684 : 57,112 = 57,112 : x
2. Step 2: Convert to fraction form
   42,684/57,112 = 57,112/x
3. Step 3: Cross multiply
   42,684x = 57,112 × 57,112
4. Step 4: Simplify right side
   42,684x = 3,261,780,544
5. Step 5: Solve for x
   x = 3,261,780,544/42,684
6. Step 6: Final answer
   x = 76,416.94