Finding the Third Proportional to 8,542 and 17,510

Step by Step Solution

1. Step 1: Write the proportion equation
   8,542 : 17,510 = 17,510 : x
2. Step 2: Convert to fraction form
   8,542/17,510 = 17,510/x
3. Step 3: Cross multiply
   8,542x = 17,510 × 17,510
4. Step 4: Simplify right side
   8,542x = 306,600,100
5. Step 5: Solve for x
   x = 306,600,100/8,542
6. Step 6: Final answer
   x = 35,893.25