Finding the Third Proportional to 7,852 and 17,256

Step by Step Solution

1. Step 1: Write the proportion equation
   7,852 : 17,256 = 17,256 : x
2. Step 2: Convert to fraction form
   7,852/17,256 = 17,256/x
3. Step 3: Cross multiply
   7,852x = 17,256 × 17,256
4. Step 4: Simplify right side
   7,852x = 297,769,536
5. Step 5: Solve for x
   x = 297,769,536/7,852
6. Step 6: Final answer
   x = 37,922.76