Finding the Third Proportional to 9,138 and 13,854

Step by Step Solution

1. Step 1: Write the proportion equation
   9,138 : 13,854 = 13,854 : x
2. Step 2: Convert to fraction form
   9,138/13,854 = 13,854/x
3. Step 3: Cross multiply
   9,138x = 13,854 × 13,854
4. Step 4: Simplify right side
   9,138x = 191,933,316
5. Step 5: Solve for x
   x = 191,933,316/9,138
6. Step 6: Final answer
   x = 21,003.86