Finding the Third Proportional to 10,712.25 and 16,584.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,712.25 : 16,584.75 = 16,584.75 : x
2. Step 2: Convert to fraction form
   10,712.25/16,584.75 = 16,584.75/x
3. Step 3: Cross multiply
   10,712.25x = 16,584.75 × 16,584.75
4. Step 4: Simplify right side
   10,712.25x = 275,053,932.56
5. Step 5: Solve for x
   x = 275,053,932.56/10,712.25
6. Step 6: Final answer
   x = 25,676.58