Finding the Third Proportional to 6,438 and 13,386

Step by Step Solution

1. Step 1: Write the proportion equation
   6,438 : 13,386 = 13,386 : x
2. Step 2: Convert to fraction form
   6,438/13,386 = 13,386/x
3. Step 3: Cross multiply
   6,438x = 13,386 × 13,386
4. Step 4: Simplify right side
   6,438x = 179,184,996
5. Step 5: Solve for x
   x = 179,184,996/6,438
6. Step 6: Final answer
   x = 27,832.40