Finding the Third Proportional to 37,544 and 57,936

Step by Step Solution

1. Step 1: Write the proportion equation
   37,544 : 57,936 = 57,936 : x
2. Step 2: Convert to fraction form
   37,544/57,936 = 57,936/x
3. Step 3: Cross multiply
   37,544x = 57,936 × 57,936
4. Step 4: Simplify right side
   37,544x = 3,356,580,096
5. Step 5: Solve for x
   x = 3,356,580,096/37,544
6. Step 6: Final answer
   x = 89,403.90