Finding the Third Proportional to 2,666 and 4,798

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666 : 4,798 = 4,798 : x
2. Step 2: Convert to fraction form
   2,666/4,798 = 4,798/x
3. Step 3: Cross multiply
   2,666x = 4,798 × 4,798
4. Step 4: Simplify right side
   2,666x = 23,020,804
5. Step 5: Solve for x
   x = 23,020,804/2,666
6. Step 6: Final answer
   x = 8,634.96