Finding the Third Proportional to 9,624 and 16,980

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 16,980 = 16,980 : x
2. Step 2: Convert to fraction form
   9,624/16,980 = 16,980/x
3. Step 3: Cross multiply
   9,624x = 16,980 × 16,980
4. Step 4: Simplify right side
   9,624x = 288,320,400
5. Step 5: Solve for x
   x = 288,320,400/9,624
6. Step 6: Final answer
   x = 29,958.48