Finding the Third Proportional to 8,034 and 17,651

Step by Step Solution

1. Step 1: Write the proportion equation
   8,034 : 17,651 = 17,651 : x
2. Step 2: Convert to fraction form
   8,034/17,651 = 17,651/x
3. Step 3: Cross multiply
   8,034x = 17,651 × 17,651
4. Step 4: Simplify right side
   8,034x = 311,557,801
5. Step 5: Solve for x
   x = 311,557,801/8,034
6. Step 6: Final answer
   x = 38,779.91