Finding the Third Proportional to 10,434 and 15,333

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434 : 15,333 = 15,333 : x
2. Step 2: Convert to fraction form
   10,434/15,333 = 15,333/x
3. Step 3: Cross multiply
   10,434x = 15,333 × 15,333
4. Step 4: Simplify right side
   10,434x = 235,100,889
5. Step 5: Solve for x
   x = 235,100,889/10,434
6. Step 6: Final answer
   x = 22,532.19