Finding the Third Proportional to 5,823 and 13,746

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823 : 13,746 = 13,746 : x
2. Step 2: Convert to fraction form
   5,823/13,746 = 13,746/x
3. Step 3: Cross multiply
   5,823x = 13,746 × 13,746
4. Step 4: Simplify right side
   5,823x = 188,952,516
5. Step 5: Solve for x
   x = 188,952,516/5,823
6. Step 6: Final answer
   x = 32,449.34