Finding the Third Proportional to 9,665.25 and 21,198.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.25 : 21,198.38 = 21,198.38 : x
2. Step 2: Convert to fraction form
   9,665.25/21,198.38 = 21,198.38/x
3. Step 3: Cross multiply
   9,665.25x = 21,198.38 × 21,198.38
4. Step 4: Simplify right side
   9,665.25x = 449,371,102.64
5. Step 5: Solve for x
   x = 449,371,102.64/9,665.25
6. Step 6: Final answer
   x = 46,493.48