Finding the Third Proportional to 2,826 and 4,658.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826 : 4,658.06 = 4,658.06 : x
2. Step 2: Convert to fraction form
   2,826/4,658.06 = 4,658.06/x
3. Step 3: Cross multiply
   2,826x = 4,658.06 × 4,658.06
4. Step 4: Simplify right side
   2,826x = 21,697,546.25
5. Step 5: Solve for x
   x = 21,697,546.25/2,826
6. Step 6: Final answer
   x = 7,677.83