Finding the Third Proportional to 9,675 and 21,196

Step by Step Solution

1. Step 1: Write the proportion equation
   9,675 : 21,196 = 21,196 : x
2. Step 2: Convert to fraction form
   9,675/21,196 = 21,196/x
3. Step 3: Cross multiply
   9,675x = 21,196 × 21,196
4. Step 4: Simplify right side
   9,675x = 449,270,416
5. Step 5: Solve for x
   x = 449,270,416/9,675
6. Step 6: Final answer
   x = 46,436.22