Finding the Third Proportional to 6,200 and 13,496

Step by Step Solution

1. Step 1: Write the proportion equation
   6,200 : 13,496 = 13,496 : x
2. Step 2: Convert to fraction form
   6,200/13,496 = 13,496/x
3. Step 3: Cross multiply
   6,200x = 13,496 × 13,496
4. Step 4: Simplify right side
   6,200x = 182,142,016
5. Step 5: Solve for x
   x = 182,142,016/6,200
6. Step 6: Final answer
   x = 29,377.74