Finding the Third Proportional to 12,575.25 and 16,584.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,575.25 : 16,584.75 = 16,584.75 : x
2. Step 2: Convert to fraction form
   12,575.25/16,584.75 = 16,584.75/x
3. Step 3: Cross multiply
   12,575.25x = 16,584.75 × 16,584.75
4. Step 4: Simplify right side
   12,575.25x = 275,053,932.56
5. Step 5: Solve for x
   x = 275,053,932.56/12,575.25
6. Step 6: Final answer
   x = 21,872.64