Finding the Third Proportional to 22,284 and 31,923

Step by Step Solution

1. Step 1: Write the proportion equation
   22,284 : 31,923 = 31,923 : x
2. Step 2: Convert to fraction form
   22,284/31,923 = 31,923/x
3. Step 3: Cross multiply
   22,284x = 31,923 × 31,923
4. Step 4: Simplify right side
   22,284x = 1,019,077,929
5. Step 5: Solve for x
   x = 1,019,077,929/22,284
6. Step 6: Final answer
   x = 45,731.37