Finding the Third Proportional to 10,596 and 22,880

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596 : 22,880 = 22,880 : x
2. Step 2: Convert to fraction form
   10,596/22,880 = 22,880/x
3. Step 3: Cross multiply
   10,596x = 22,880 × 22,880
4. Step 4: Simplify right side
   10,596x = 523,494,400
5. Step 5: Solve for x
   x = 523,494,400/10,596
6. Step 6: Final answer
   x = 49,404.91