Finding the Third Proportional to 9,782 and 17,284

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782 : 17,284 = 17,284 : x
2. Step 2: Convert to fraction form
   9,782/17,284 = 17,284/x
3. Step 3: Cross multiply
   9,782x = 17,284 × 17,284
4. Step 4: Simplify right side
   9,782x = 298,736,656
5. Step 5: Solve for x
   x = 298,736,656/9,782
6. Step 6: Final answer
   x = 30,539.43