Finding the Third Proportional to 12,345 and 19,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,345 : 19,144.50 = 19,144.50 : x
2. Step 2: Convert to fraction form
   12,345/19,144.50 = 19,144.50/x
3. Step 3: Cross multiply
   12,345x = 19,144.50 × 19,144.50
4. Step 4: Simplify right side
   12,345x = 366,511,880.25
5. Step 5: Solve for x
   x = 366,511,880.25/12,345
6. Step 6: Final answer
   x = 29,689.10