Finding the Third Proportional to 7,936.50 and 12,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,936.50 : 12,565.50 = 12,565.50 : x
2. Step 2: Convert to fraction form
   7,936.50/12,565.50 = 12,565.50/x
3. Step 3: Cross multiply
   7,936.50x = 12,565.50 × 12,565.50
4. Step 4: Simplify right side
   7,936.50x = 157,891,790.25
5. Step 5: Solve for x
   x = 157,891,790.25/7,936.50
6. Step 6: Final answer
   x = 19,894.39