Finding the Third Proportional to 37,946 and 57,041

Step by Step Solution

1. Step 1: Write the proportion equation
   37,946 : 57,041 = 57,041 : x
2. Step 2: Convert to fraction form
   37,946/57,041 = 57,041/x
3. Step 3: Cross multiply
   37,946x = 57,041 × 57,041
4. Step 4: Simplify right side
   37,946x = 3,253,675,681
5. Step 5: Solve for x
   x = 3,253,675,681/37,946
6. Step 6: Final answer
   x = 85,744.89