Finding the Third Proportional to 9,699.75 and 16,083.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,699.75 : 16,083.56 = 16,083.56 : x
2. Step 2: Convert to fraction form
   9,699.75/16,083.56 = 16,083.56/x
3. Step 3: Cross multiply
   9,699.75x = 16,083.56 × 16,083.56
4. Step 4: Simplify right side
   9,699.75x = 258,680,982.69
5. Step 5: Solve for x
   x = 258,680,982.69/9,699.75
6. Step 6: Final answer
   x = 26,668.83