Finding the Third Proportional to 9,630 and 12,585

Step by Step Solution

1. Step 1: Write the proportion equation
   9,630 : 12,585 = 12,585 : x
2. Step 2: Convert to fraction form
   9,630/12,585 = 12,585/x
3. Step 3: Cross multiply
   9,630x = 12,585 × 12,585
4. Step 4: Simplify right side
   9,630x = 158,382,225
5. Step 5: Solve for x
   x = 158,382,225/9,630
6. Step 6: Final answer
   x = 16,446.75