Finding the Third Proportional to 5,093 and 10,741

Step by Step Solution

1. Step 1: Write the proportion equation
   5,093 : 10,741 = 10,741 : x
2. Step 2: Convert to fraction form
   5,093/10,741 = 10,741/x
3. Step 3: Cross multiply
   5,093x = 10,741 × 10,741
4. Step 4: Simplify right side
   5,093x = 115,369,081
5. Step 5: Solve for x
   x = 115,369,081/5,093
6. Step 6: Final answer
   x = 22,652.48