Finding the Third Proportional to 9,144 and 13,758

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144 : 13,758 = 13,758 : x
2. Step 2: Convert to fraction form
   9,144/13,758 = 13,758/x
3. Step 3: Cross multiply
   9,144x = 13,758 × 13,758
4. Step 4: Simplify right side
   9,144x = 189,282,564
5. Step 5: Solve for x
   x = 189,282,564/9,144
6. Step 6: Final answer
   x = 20,700.19