Finding the Third Proportional to 3,738.50 and 7,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,738.50 : 7,864.50 = 7,864.50 : x
2. Step 2: Convert to fraction form
   3,738.50/7,864.50 = 7,864.50/x
3. Step 3: Cross multiply
   3,738.50x = 7,864.50 × 7,864.50
4. Step 4: Simplify right side
   3,738.50x = 61,850,360.25
5. Step 5: Solve for x
   x = 61,850,360.25/3,738.50
6. Step 6: Final answer
   x = 16,544.16