Finding the Third Proportional to 9,144 and 13,783

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144 : 13,783 = 13,783 : x
2. Step 2: Convert to fraction form
   9,144/13,783 = 13,783/x
3. Step 3: Cross multiply
   9,144x = 13,783 × 13,783
4. Step 4: Simplify right side
   9,144x = 189,971,089
5. Step 5: Solve for x
   x = 189,971,089/9,144
6. Step 6: Final answer
   x = 20,775.49