Finding the Third Proportional to 9,566 and 12,854

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566 : 12,854 = 12,854 : x
2. Step 2: Convert to fraction form
   9,566/12,854 = 12,854/x
3. Step 3: Cross multiply
   9,566x = 12,854 × 12,854
4. Step 4: Simplify right side
   9,566x = 165,225,316
5. Step 5: Solve for x
   x = 165,225,316/9,566
6. Step 6: Final answer
   x = 17,272.14