Finding the Third Proportional to 13,189 and 17,618

Step by Step Solution

1. Step 1: Write the proportion equation
   13,189 : 17,618 = 17,618 : x
2. Step 2: Convert to fraction form
   13,189/17,618 = 17,618/x
3. Step 3: Cross multiply
   13,189x = 17,618 × 17,618
4. Step 4: Simplify right side
   13,189x = 310,393,924
5. Step 5: Solve for x
   x = 310,393,924/13,189
6. Step 6: Final answer
   x = 23,534.30