Finding the Third Proportional to 5,120 and 10,880

Step by Step Solution

1. Step 1: Write the proportion equation
   5,120 : 10,880 = 10,880 : x
2. Step 2: Convert to fraction form
   5,120/10,880 = 10,880/x
3. Step 3: Cross multiply
   5,120x = 10,880 × 10,880
4. Step 4: Simplify right side
   5,120x = 118,374,400
5. Step 5: Solve for x
   x = 118,374,400/5,120
6. Step 6: Final answer
   x = 23,120