Finding the Third Proportional to 5,788 and 10,328

Step by Step Solution

1. Step 1: Write the proportion equation
   5,788 : 10,328 = 10,328 : x
2. Step 2: Convert to fraction form
   5,788/10,328 = 10,328/x
3. Step 3: Cross multiply
   5,788x = 10,328 × 10,328
4. Step 4: Simplify right side
   5,788x = 106,667,584
5. Step 5: Solve for x
   x = 106,667,584/5,788
6. Step 6: Final answer
   x = 18,429.09