Finding the Third Proportional to 6,345 and 13,837

Step by Step Solution

1. Step 1: Write the proportion equation
   6,345 : 13,837 = 13,837 : x
2. Step 2: Convert to fraction form
   6,345/13,837 = 13,837/x
3. Step 3: Cross multiply
   6,345x = 13,837 × 13,837
4. Step 4: Simplify right side
   6,345x = 191,462,569
5. Step 5: Solve for x
   x = 191,462,569/6,345
6. Step 6: Final answer
   x = 30,175.35