Finding the Third Proportional to 3,648.75 and 7,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.75 : 7,864.50 = 7,864.50 : x
2. Step 2: Convert to fraction form
   3,648.75/7,864.50 = 7,864.50/x
3. Step 3: Cross multiply
   3,648.75x = 7,864.50 × 7,864.50
4. Step 4: Simplify right side
   3,648.75x = 61,850,360.25
5. Step 5: Solve for x
   x = 61,850,360.25/3,648.75
6. Step 6: Final answer
   x = 16,951.11