Finding the Third Proportional to 10,546 and 16,980

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546 : 16,980 = 16,980 : x
2. Step 2: Convert to fraction form
   10,546/16,980 = 16,980/x
3. Step 3: Cross multiply
   10,546x = 16,980 × 16,980
4. Step 4: Simplify right side
   10,546x = 288,320,400
5. Step 5: Solve for x
   x = 288,320,400/10,546
6. Step 6: Final answer
   x = 27,339.31