Finding the Third Proportional to 3,225.66 and 5,800.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,225.66 : 5,800.78 = 5,800.78 : x
2. Step 2: Convert to fraction form
   3,225.66/5,800.78 = 5,800.78/x
3. Step 3: Cross multiply
   3,225.66x = 5,800.78 × 5,800.78
4. Step 4: Simplify right side
   3,225.66x = 33,649,063.11
5. Step 5: Solve for x
   x = 33,649,063.11/3,225.66
6. Step 6: Final answer
   x = 10,431.70