Finding the Third Proportional to 6,185 and 13,666

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185 : 13,666 = 13,666 : x
2. Step 2: Convert to fraction form
   6,185/13,666 = 13,666/x
3. Step 3: Cross multiply
   6,185x = 13,666 × 13,666
4. Step 4: Simplify right side
   6,185x = 186,759,556
5. Step 5: Solve for x
   x = 186,759,556/6,185
6. Step 6: Final answer
   x = 30,195.56