Finding the Third Proportional to 36,966 and 57,345

Step by Step Solution

1. Step 1: Write the proportion equation
   36,966 : 57,345 = 57,345 : x
2. Step 2: Convert to fraction form
   36,966/57,345 = 57,345/x
3. Step 3: Cross multiply
   36,966x = 57,345 × 57,345
4. Step 4: Simplify right side
   36,966x = 3,288,449,025
5. Step 5: Solve for x
   x = 3,288,449,025/36,966
6. Step 6: Final answer
   x = 88,958.75