Finding the Third Proportional to 6,144.19 and 13,609.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144.19 : 13,609.69 = 13,609.69 : x
2. Step 2: Convert to fraction form
   6,144.19/13,609.69 = 13,609.69/x
3. Step 3: Cross multiply
   6,144.19x = 13,609.69 × 13,609.69
4. Step 4: Simplify right side
   6,144.19x = 185,223,593.85
5. Step 5: Solve for x
   x = 185,223,593.85/6,144.19
6. Step 6: Final answer
   x = 30,146.15