Finding the Third Proportional to 3,868.50 and 5,819.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.50 : 5,819.25 = 5,819.25 : x
2. Step 2: Convert to fraction form
   3,868.50/5,819.25 = 5,819.25/x
3. Step 3: Cross multiply
   3,868.50x = 5,819.25 × 5,819.25
4. Step 4: Simplify right side
   3,868.50x = 33,863,670.56
5. Step 5: Solve for x
   x = 33,863,670.56/3,868.50
6. Step 6: Final answer
   x = 8,753.70