Finding the Third Proportional to 9,980 and 16,570

Step by Step Solution

1. Step 1: Write the proportion equation
   9,980 : 16,570 = 16,570 : x
2. Step 2: Convert to fraction form
   9,980/16,570 = 16,570/x
3. Step 3: Cross multiply
   9,980x = 16,570 × 16,570
4. Step 4: Simplify right side
   9,980x = 274,564,900
5. Step 5: Solve for x
   x = 274,564,900/9,980
6. Step 6: Final answer
   x = 27,511.51