Finding the Third Proportional to 17,618 and 38,188

Step by Step Solution

1. Step 1: Write the proportion equation
   17,618 : 38,188 = 38,188 : x
2. Step 2: Convert to fraction form
   17,618/38,188 = 38,188/x
3. Step 3: Cross multiply
   17,618x = 38,188 × 38,188
4. Step 4: Simplify right side
   17,618x = 1,458,323,344
5. Step 5: Solve for x
   x = 1,458,323,344/17,618
6. Step 6: Final answer
   x = 82,774.63