Finding the Third Proportional to 3,856.50 and 6,498.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.50 : 6,498.75 = 6,498.75 : x
2. Step 2: Convert to fraction form
   3,856.50/6,498.75 = 6,498.75/x
3. Step 3: Cross multiply
   3,856.50x = 6,498.75 × 6,498.75
4. Step 4: Simplify right side
   3,856.50x = 42,233,751.56
5. Step 5: Solve for x
   x = 42,233,751.56/3,856.50
6. Step 6: Final answer
   x = 10,951.32