Finding the Third Proportional to 20,223 and 31,040

Step by Step Solution

1. Step 1: Write the proportion equation
   20,223 : 31,040 = 31,040 : x
2. Step 2: Convert to fraction form
   20,223/31,040 = 31,040/x
3. Step 3: Cross multiply
   20,223x = 31,040 × 31,040
4. Step 4: Simplify right side
   20,223x = 963,481,600
5. Step 5: Solve for x
   x = 963,481,600/20,223
6. Step 6: Final answer
   x = 47,642.86