Finding the Third Proportional to 23,378 and 31,330

Step by Step Solution

1. Step 1: Write the proportion equation
   23,378 : 31,330 = 31,330 : x
2. Step 2: Convert to fraction form
   23,378/31,330 = 31,330/x
3. Step 3: Cross multiply
   23,378x = 31,330 × 31,330
4. Step 4: Simplify right side
   23,378x = 981,568,900
5. Step 5: Solve for x
   x = 981,568,900/23,378
6. Step 6: Final answer
   x = 41,986.86