Finding the Third Proportional to 5,823 and 10,386

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823 : 10,386 = 10,386 : x
2. Step 2: Convert to fraction form
   5,823/10,386 = 10,386/x
3. Step 3: Cross multiply
   5,823x = 10,386 × 10,386
4. Step 4: Simplify right side
   5,823x = 107,868,996
5. Step 5: Solve for x
   x = 107,868,996/5,823
6. Step 6: Final answer
   x = 18,524.64