Finding the Third Proportional to 12,144 and 19,083

Step by Step Solution

1. Step 1: Write the proportion equation
   12,144 : 19,083 = 19,083 : x
2. Step 2: Convert to fraction form
   12,144/19,083 = 19,083/x
3. Step 3: Cross multiply
   12,144x = 19,083 × 19,083
4. Step 4: Simplify right side
   12,144x = 364,160,889
5. Step 5: Solve for x
   x = 364,160,889/12,144
6. Step 6: Final answer
   x = 29,986.90