Finding the Third Proportional to 6,698 and 14,158

Step by Step Solution

1. Step 1: Write the proportion equation
   6,698 : 14,158 = 14,158 : x
2. Step 2: Convert to fraction form
   6,698/14,158 = 14,158/x
3. Step 3: Cross multiply
   6,698x = 14,158 × 14,158
4. Step 4: Simplify right side
   6,698x = 200,448,964
5. Step 5: Solve for x
   x = 200,448,964/6,698
6. Step 6: Final answer
   x = 29,926.69