Finding the Third Proportional to 10,829.25 and 16,199.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,829.25 : 16,199.75 = 16,199.75 : x
2. Step 2: Convert to fraction form
   10,829.25/16,199.75 = 16,199.75/x
3. Step 3: Cross multiply
   10,829.25x = 16,199.75 × 16,199.75
4. Step 4: Simplify right side
   10,829.25x = 262,431,900.06
5. Step 5: Solve for x
   x = 262,431,900.06/10,829.25
6. Step 6: Final answer
   x = 24,233.62