Finding the Third Proportional to 37,367 and 57,145

Step by Step Solution

1. Step 1: Write the proportion equation
   37,367 : 57,145 = 57,145 : x
2. Step 2: Convert to fraction form
   37,367/57,145 = 57,145/x
3. Step 3: Cross multiply
   37,367x = 57,145 × 57,145
4. Step 4: Simplify right side
   37,367x = 3,265,551,025
5. Step 5: Solve for x
   x = 3,265,551,025/37,367
6. Step 6: Final answer
   x = 87,391.31