Finding the Third Proportional to 4,142.50 and 8,564

Step by Step Solution

1. Step 1: Write the proportion equation
   4,142.50 : 8,564 = 8,564 : x
2. Step 2: Convert to fraction form
   4,142.50/8,564 = 8,564/x
3. Step 3: Cross multiply
   4,142.50x = 8,564 × 8,564
4. Step 4: Simplify right side
   4,142.50x = 73,342,096
5. Step 5: Solve for x
   x = 73,342,096/4,142.50
6. Step 6: Final answer
   x = 17,704.79