Finding the Third Proportional to 3,856.50 and 9,078.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.50 : 9,078.75 = 9,078.75 : x
2. Step 2: Convert to fraction form
   3,856.50/9,078.75 = 9,078.75/x
3. Step 3: Cross multiply
   3,856.50x = 9,078.75 × 9,078.75
4. Step 4: Simplify right side
   3,856.50x = 82,423,701.56
5. Step 5: Solve for x
   x = 82,423,701.56/3,856.50
6. Step 6: Final answer
   x = 21,372.67