Finding the Third Proportional to 10,306 and 18,564

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306 : 18,564 = 18,564 : x
2. Step 2: Convert to fraction form
   10,306/18,564 = 18,564/x
3. Step 3: Cross multiply
   10,306x = 18,564 × 18,564
4. Step 4: Simplify right side
   10,306x = 344,622,096
5. Step 5: Solve for x
   x = 344,622,096/10,306
6. Step 6: Final answer
   x = 33,438.98