Finding the Third Proportional to 9,839 and 13,828

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839 : 13,828 = 13,828 : x
2. Step 2: Convert to fraction form
   9,839/13,828 = 13,828/x
3. Step 3: Cross multiply
   9,839x = 13,828 × 13,828
4. Step 4: Simplify right side
   9,839x = 191,213,584
5. Step 5: Solve for x
   x = 191,213,584/9,839
6. Step 6: Final answer
   x = 19,434.25