Finding the Third Proportional to 10,288 and 13,564

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288 : 13,564 = 13,564 : x
2. Step 2: Convert to fraction form
   10,288/13,564 = 13,564/x
3. Step 3: Cross multiply
   10,288x = 13,564 × 13,564
4. Step 4: Simplify right side
   10,288x = 183,982,096
5. Step 5: Solve for x
   x = 183,982,096/10,288
6. Step 6: Final answer
   x = 17,883.17