Finding the Third Proportional to 9,768 and 13,564

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 13,564 = 13,564 : x
2. Step 2: Convert to fraction form
   9,768/13,564 = 13,564/x
3. Step 3: Cross multiply
   9,768x = 13,564 × 13,564
4. Step 4: Simplify right side
   9,768x = 183,982,096
5. Step 5: Solve for x
   x = 183,982,096/9,768
6. Step 6: Final answer
   x = 18,835.19