Finding the Third Proportional to 5,192 and 10,980

Step by Step Solution

1. Step 1: Write the proportion equation
   5,192 : 10,980 = 10,980 : x
2. Step 2: Convert to fraction form
   5,192/10,980 = 10,980/x
3. Step 3: Cross multiply
   5,192x = 10,980 × 10,980
4. Step 4: Simplify right side
   5,192x = 120,560,400
5. Step 5: Solve for x
   x = 120,560,400/5,192
6. Step 6: Final answer
   x = 23,220.42