Finding the Third Proportional to 10,383.75 and 16,122.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,383.75 : 16,122.38 = 16,122.38 : x
2. Step 2: Convert to fraction form
   10,383.75/16,122.38 = 16,122.38/x
3. Step 3: Cross multiply
   10,383.75x = 16,122.38 × 16,122.38
4. Step 4: Simplify right side
   10,383.75x = 259,930,975.64
5. Step 5: Solve for x
   x = 259,930,975.64/10,383.75
6. Step 6: Final answer
   x = 25,032.48