Finding the Third Proportional to 37,947 and 57,042

Step by Step Solution

1. Step 1: Write the proportion equation
   37,947 : 57,042 = 57,042 : x
2. Step 2: Convert to fraction form
   37,947/57,042 = 57,042/x
3. Step 3: Cross multiply
   37,947x = 57,042 × 57,042
4. Step 4: Simplify right side
   37,947x = 3,253,789,764
5. Step 5: Solve for x
   x = 3,253,789,764/37,947
6. Step 6: Final answer
   x = 85,745.64