Finding the Third Proportional to 37,914 and 57,393

Step by Step Solution

1. Step 1: Write the proportion equation
   37,914 : 57,393 = 57,393 : x
2. Step 2: Convert to fraction form
   37,914/57,393 = 57,393/x
3. Step 3: Cross multiply
   37,914x = 57,393 × 57,393
4. Step 4: Simplify right side
   37,914x = 3,293,956,449
5. Step 5: Solve for x
   x = 3,293,956,449/37,914
6. Step 6: Final answer
   x = 86,879.69