Finding the Third Proportional to 22,864 and 30,880

Step by Step Solution

1. Step 1: Write the proportion equation
   22,864 : 30,880 = 30,880 : x
2. Step 2: Convert to fraction form
   22,864/30,880 = 30,880/x
3. Step 3: Cross multiply
   22,864x = 30,880 × 30,880
4. Step 4: Simplify right side
   22,864x = 953,574,400
5. Step 5: Solve for x
   x = 953,574,400/22,864
6. Step 6: Final answer
   x = 41,706.37