Finding the Third Proportional to 40,042 and 57,679

Step by Step Solution

1. Step 1: Write the proportion equation
   40,042 : 57,679 = 57,679 : x
2. Step 2: Convert to fraction form
   40,042/57,679 = 57,679/x
3. Step 3: Cross multiply
   40,042x = 57,679 × 57,679
4. Step 4: Simplify right side
   40,042x = 3,326,867,041
5. Step 5: Solve for x
   x = 3,326,867,041/40,042
6. Step 6: Final answer
   x = 83,084.44