Finding the Third Proportional to 9,782 and 17,039

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782 : 17,039 = 17,039 : x
2. Step 2: Convert to fraction form
   9,782/17,039 = 17,039/x
3. Step 3: Cross multiply
   9,782x = 17,039 × 17,039
4. Step 4: Simplify right side
   9,782x = 290,327,521
5. Step 5: Solve for x
   x = 290,327,521/9,782
6. Step 6: Final answer
   x = 29,679.77