Finding the Third Proportional to 9,664 and 12,630

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664 : 12,630 = 12,630 : x
2. Step 2: Convert to fraction form
   9,664/12,630 = 12,630/x
3. Step 3: Cross multiply
   9,664x = 12,630 × 12,630
4. Step 4: Simplify right side
   9,664x = 159,516,900
5. Step 5: Solve for x
   x = 159,516,900/9,664
6. Step 6: Final answer
   x = 16,506.30