Finding the Third Proportional to 6,144 and 12,573

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144 : 12,573 = 12,573 : x
2. Step 2: Convert to fraction form
   6,144/12,573 = 12,573/x
3. Step 3: Cross multiply
   6,144x = 12,573 × 12,573
4. Step 4: Simplify right side
   6,144x = 158,080,329
5. Step 5: Solve for x
   x = 158,080,329/6,144
6. Step 6: Final answer
   x = 25,729.22