Finding the Third Proportional to 7,138 and 13,388

Step by Step Solution

1. Step 1: Write the proportion equation
   7,138 : 13,388 = 13,388 : x
2. Step 2: Convert to fraction form
   7,138/13,388 = 13,388/x
3. Step 3: Cross multiply
   7,138x = 13,388 × 13,388
4. Step 4: Simplify right side
   7,138x = 179,238,544
5. Step 5: Solve for x
   x = 179,238,544/7,138
6. Step 6: Final answer
   x = 25,110.47