Finding the Third Proportional to 2,093 and 4,868

Step by Step Solution

1. Step 1: Write the proportion equation
   2,093 : 4,868 = 4,868 : x
2. Step 2: Convert to fraction form
   2,093/4,868 = 4,868/x
3. Step 3: Cross multiply
   2,093x = 4,868 × 4,868
4. Step 4: Simplify right side
   2,093x = 23,697,424
5. Step 5: Solve for x
   x = 23,697,424/2,093
6. Step 6: Final answer
   x = 11,322.23