Finding the Third Proportional to 37,624 and 57,544

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624 : 57,544 = 57,544 : x
2. Step 2: Convert to fraction form
   37,624/57,544 = 57,544/x
3. Step 3: Cross multiply
   37,624x = 57,544 × 57,544
4. Step 4: Simplify right side
   37,624x = 3,311,311,936
5. Step 5: Solve for x
   x = 3,311,311,936/37,624
6. Step 6: Final answer
   x = 88,010.63