Finding the Third Proportional to 9,138 and 13,755

Step by Step Solution

1. Step 1: Write the proportion equation
   9,138 : 13,755 = 13,755 : x
2. Step 2: Convert to fraction form
   9,138/13,755 = 13,755/x
3. Step 3: Cross multiply
   9,138x = 13,755 × 13,755
4. Step 4: Simplify right side
   9,138x = 189,200,025
5. Step 5: Solve for x
   x = 189,200,025/9,138
6. Step 6: Final answer
   x = 20,704.75