Finding the Third Proportional to 22,640 and 31,282

Step by Step Solution

1. Step 1: Write the proportion equation
   22,640 : 31,282 = 31,282 : x
2. Step 2: Convert to fraction form
   22,640/31,282 = 31,282/x
3. Step 3: Cross multiply
   22,640x = 31,282 × 31,282
4. Step 4: Simplify right side
   22,640x = 978,563,524
5. Step 5: Solve for x
   x = 978,563,524/22,640
6. Step 6: Final answer
   x = 43,222.77