Finding the Third Proportional to 8,014 and 17,564

Step by Step Solution

1. Step 1: Write the proportion equation
   8,014 : 17,564 = 17,564 : x
2. Step 2: Convert to fraction form
   8,014/17,564 = 17,564/x
3. Step 3: Cross multiply
   8,014x = 17,564 × 17,564
4. Step 4: Simplify right side
   8,014x = 308,494,096
5. Step 5: Solve for x
   x = 308,494,096/8,014
6. Step 6: Final answer
   x = 38,494.40