Finding the Third Proportional to 10,734 and 13,833

Step by Step Solution

1. Step 1: Write the proportion equation
   10,734 : 13,833 = 13,833 : x
2. Step 2: Convert to fraction form
   10,734/13,833 = 13,833/x
3. Step 3: Cross multiply
   10,734x = 13,833 × 13,833
4. Step 4: Simplify right side
   10,734x = 191,351,889
5. Step 5: Solve for x
   x = 191,351,889/10,734
6. Step 6: Final answer
   x = 17,826.71