Finding the Third Proportional to 9,144 and 14,442

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144 : 14,442 = 14,442 : x
2. Step 2: Convert to fraction form
   9,144/14,442 = 14,442/x
3. Step 3: Cross multiply
   9,144x = 14,442 × 14,442
4. Step 4: Simplify right side
   9,144x = 208,571,364
5. Step 5: Solve for x
   x = 208,571,364/9,144
6. Step 6: Final answer
   x = 22,809.64