Finding the Third Proportional to 37,945 and 57,040

Step by Step Solution

1. Step 1: Write the proportion equation
   37,945 : 57,040 = 57,040 : x
2. Step 2: Convert to fraction form
   37,945/57,040 = 57,040/x
3. Step 3: Cross multiply
   37,945x = 57,040 × 57,040
4. Step 4: Simplify right side
   37,945x = 3,253,561,600
5. Step 5: Solve for x
   x = 3,253,561,600/37,945
6. Step 6: Final answer
   x = 85,744.15