Finding the Third Proportional to 6,442 and 13,388

Step by Step Solution

1. Step 1: Write the proportion equation
   6,442 : 13,388 = 13,388 : x
2. Step 2: Convert to fraction form
   6,442/13,388 = 13,388/x
3. Step 3: Cross multiply
   6,442x = 13,388 × 13,388
4. Step 4: Simplify right side
   6,442x = 179,238,544
5. Step 5: Solve for x
   x = 179,238,544/6,442
6. Step 6: Final answer
   x = 27,823.43