Finding the Third Proportional to 6,580 and 13,768

Step by Step Solution

1. Step 1: Write the proportion equation
   6,580 : 13,768 = 13,768 : x
2. Step 2: Convert to fraction form
   6,580/13,768 = 13,768/x
3. Step 3: Cross multiply
   6,580x = 13,768 × 13,768
4. Step 4: Simplify right side
   6,580x = 189,557,824
5. Step 5: Solve for x
   x = 189,557,824/6,580
6. Step 6: Final answer
   x = 28,808.18