Finding the Third Proportional to 9,138 and 13,805

Step by Step Solution

1. Step 1: Write the proportion equation
   9,138 : 13,805 = 13,805 : x
2. Step 2: Convert to fraction form
   9,138/13,805 = 13,805/x
3. Step 3: Cross multiply
   9,138x = 13,805 × 13,805
4. Step 4: Simplify right side
   9,138x = 190,578,025
5. Step 5: Solve for x
   x = 190,578,025/9,138
6. Step 6: Final answer
   x = 20,855.55