Finding the Third Proportional to 8,265.75 and 12,593.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,265.75 : 12,593.25 = 12,593.25 : x
2. Step 2: Convert to fraction form
   8,265.75/12,593.25 = 12,593.25/x
3. Step 3: Cross multiply
   8,265.75x = 12,593.25 × 12,593.25
4. Step 4: Simplify right side
   8,265.75x = 158,589,945.56
5. Step 5: Solve for x
   x = 158,589,945.56/8,265.75
6. Step 6: Final answer
   x = 19,186.40