Finding the Third Proportional to 6,530 and 12,742

Step by Step Solution

1. Step 1: Write the proportion equation
   6,530 : 12,742 = 12,742 : x
2. Step 2: Convert to fraction form
   6,530/12,742 = 12,742/x
3. Step 3: Cross multiply
   6,530x = 12,742 × 12,742
4. Step 4: Simplify right side
   6,530x = 162,358,564
5. Step 5: Solve for x
   x = 162,358,564/6,530
6. Step 6: Final answer
   x = 24,863.49