Finding the Third Proportional to 6,505 and 13,684

Step by Step Solution

1. Step 1: Write the proportion equation
   6,505 : 13,684 = 13,684 : x
2. Step 2: Convert to fraction form
   6,505/13,684 = 13,684/x
3. Step 3: Cross multiply
   6,505x = 13,684 × 13,684
4. Step 4: Simplify right side
   6,505x = 187,251,856
5. Step 5: Solve for x
   x = 187,251,856/6,505
6. Step 6: Final answer
   x = 28,785.83