Finding the Third Proportional to 13,738 and 18,662

Step by Step Solution

1. Step 1: Write the proportion equation
   13,738 : 18,662 = 18,662 : x
2. Step 2: Convert to fraction form
   13,738/18,662 = 18,662/x
3. Step 3: Cross multiply
   13,738x = 18,662 × 18,662
4. Step 4: Simplify right side
   13,738x = 348,270,244
5. Step 5: Solve for x
   x = 348,270,244/13,738
6. Step 6: Final answer
   x = 25,350.87