Finding the Third Proportional to 16,852 and 25,510

Step by Step Solution

1. Step 1: Write the proportion equation
   16,852 : 25,510 = 25,510 : x
2. Step 2: Convert to fraction form
   16,852/25,510 = 25,510/x
3. Step 3: Cross multiply
   16,852x = 25,510 × 25,510
4. Step 4: Simplify right side
   16,852x = 650,760,100
5. Step 5: Solve for x
   x = 650,760,100/16,852
6. Step 6: Final answer
   x = 38,616.19