Finding the Third Proportional to 4,097.25 and 9,721.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,097.25 : 9,721.69 = 9,721.69 : x
2. Step 2: Convert to fraction form
   4,097.25/9,721.69 = 9,721.69/x
3. Step 3: Cross multiply
   4,097.25x = 9,721.69 × 9,721.69
4. Step 4: Simplify right side
   4,097.25x = 94,511,207.85
5. Step 5: Solve for x
   x = 94,511,207.85/4,097.25
6. Step 6: Final answer
   x = 23,066.99