Finding the Third Proportional to 9,676 and 12,970

Step by Step Solution

1. Step 1: Write the proportion equation
   9,676 : 12,970 = 12,970 : x
2. Step 2: Convert to fraction form
   9,676/12,970 = 12,970/x
3. Step 3: Cross multiply
   9,676x = 12,970 × 12,970
4. Step 4: Simplify right side
   9,676x = 168,220,900
5. Step 5: Solve for x
   x = 168,220,900/9,676
6. Step 6: Final answer
   x = 17,385.38