Finding the Third Proportional to 6,346 and 13,648

Step by Step Solution

1. Step 1: Write the proportion equation
   6,346 : 13,648 = 13,648 : x
2. Step 2: Convert to fraction form
   6,346/13,648 = 13,648/x
3. Step 3: Cross multiply
   6,346x = 13,648 × 13,648
4. Step 4: Simplify right side
   6,346x = 186,267,904
5. Step 5: Solve for x
   x = 186,267,904/6,346
6. Step 6: Final answer
   x = 29,352.02