Finding the Third Proportional to 5,758 and 12,093

Step by Step Solution

1. Step 1: Write the proportion equation
   5,758 : 12,093 = 12,093 : x
2. Step 2: Convert to fraction form
   5,758/12,093 = 12,093/x
3. Step 3: Cross multiply
   5,758x = 12,093 × 12,093
4. Step 4: Simplify right side
   5,758x = 146,240,649
5. Step 5: Solve for x
   x = 146,240,649/5,758
6. Step 6: Final answer
   x = 25,397.82