Finding the Third Proportional to 6,339 and 13,854

Step by Step Solution

1. Step 1: Write the proportion equation
   6,339 : 13,854 = 13,854 : x
2. Step 2: Convert to fraction form
   6,339/13,854 = 13,854/x
3. Step 3: Cross multiply
   6,339x = 13,854 × 13,854
4. Step 4: Simplify right side
   6,339x = 191,933,316
5. Step 5: Solve for x
   x = 191,933,316/6,339
6. Step 6: Final answer
   x = 30,278.17