Finding the Third Proportional to 2,434 and 5,333

Step by Step Solution

1. Step 1: Write the proportion equation
   2,434 : 5,333 = 5,333 : x
2. Step 2: Convert to fraction form
   2,434/5,333 = 5,333/x
3. Step 3: Cross multiply
   2,434x = 5,333 × 5,333
4. Step 4: Simplify right side
   2,434x = 28,440,889
5. Step 5: Solve for x
   x = 28,440,889/2,434
6. Step 6: Final answer
   x = 11,684.84