Finding the Third Proportional to 9,564 and 12,778

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 12,778 = 12,778 : x
2. Step 2: Convert to fraction form
   9,564/12,778 = 12,778/x
3. Step 3: Cross multiply
   9,564x = 12,778 × 12,778
4. Step 4: Simplify right side
   9,564x = 163,277,284
5. Step 5: Solve for x
   x = 163,277,284/9,564
6. Step 6: Final answer
   x = 17,072.07