Finding the Third Proportional to 5,823 and 10,674

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823 : 10,674 = 10,674 : x
2. Step 2: Convert to fraction form
   5,823/10,674 = 10,674/x
3. Step 3: Cross multiply
   5,823x = 10,674 × 10,674
4. Step 4: Simplify right side
   5,823x = 113,934,276
5. Step 5: Solve for x
   x = 113,934,276/5,823
6. Step 6: Final answer
   x = 19,566.25