Finding the Third Proportional to 12,144 and 18,536

Step by Step Solution

1. Step 1: Write the proportion equation
   12,144 : 18,536 = 18,536 : x
2. Step 2: Convert to fraction form
   12,144/18,536 = 18,536/x
3. Step 3: Cross multiply
   12,144x = 18,536 × 18,536
4. Step 4: Simplify right side
   12,144x = 343,583,296
5. Step 5: Solve for x
   x = 343,583,296/12,144
6. Step 6: Final answer
   x = 28,292.43