Finding the Third Proportional to 6,298 and 13,706

Step by Step Solution

1. Step 1: Write the proportion equation
   6,298 : 13,706 = 13,706 : x
2. Step 2: Convert to fraction form
   6,298/13,706 = 13,706/x
3. Step 3: Cross multiply
   6,298x = 13,706 × 13,706
4. Step 4: Simplify right side
   6,298x = 187,854,436
5. Step 5: Solve for x
   x = 187,854,436/6,298
6. Step 6: Final answer
   x = 29,827.63