Finding the Third Proportional to 36,544 and 57,812

Step by Step Solution

1. Step 1: Write the proportion equation
   36,544 : 57,812 = 57,812 : x
2. Step 2: Convert to fraction form
   36,544/57,812 = 57,812/x
3. Step 3: Cross multiply
   36,544x = 57,812 × 57,812
4. Step 4: Simplify right side
   36,544x = 3,342,227,344
5. Step 5: Solve for x
   x = 3,342,227,344/36,544
6. Step 6: Final answer
   x = 91,457.62