Finding the Third Proportional to 5,826.09 and 7,868.39

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826.09 : 7,868.39 = 7,868.39 : x
2. Step 2: Convert to fraction form
   5,826.09/7,868.39 = 7,868.39/x
3. Step 3: Cross multiply
   5,826.09x = 7,868.39 × 7,868.39
4. Step 4: Simplify right side
   5,826.09x = 61,911,571.03
5. Step 5: Solve for x
   x = 61,911,571.03/5,826.09
6. Step 6: Final answer
   x = 10,626.60