Finding the Third Proportional to 10,646.25 and 16,227.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.25 : 16,227.75 = 16,227.75 : x
2. Step 2: Convert to fraction form
   10,646.25/16,227.75 = 16,227.75/x
3. Step 3: Cross multiply
   10,646.25x = 16,227.75 × 16,227.75
4. Step 4: Simplify right side
   10,646.25x = 263,339,870.06
5. Step 5: Solve for x
   x = 263,339,870.06/10,646.25
6. Step 6: Final answer
   x = 24,735.46