Finding the Third Proportional to 10,980 and 16,983

Step by Step Solution

1. Step 1: Write the proportion equation
   10,980 : 16,983 = 16,983 : x
2. Step 2: Convert to fraction form
   10,980/16,983 = 16,983/x
3. Step 3: Cross multiply
   10,980x = 16,983 × 16,983
4. Step 4: Simplify right side
   10,980x = 288,422,289
5. Step 5: Solve for x
   x = 288,422,289/10,980
6. Step 6: Final answer
   x = 26,267.97