Finding the Third Proportional to 6,677 and 14,155

Step by Step Solution

1. Step 1: Write the proportion equation
   6,677 : 14,155 = 14,155 : x
2. Step 2: Convert to fraction form
   6,677/14,155 = 14,155/x
3. Step 3: Cross multiply
   6,677x = 14,155 × 14,155
4. Step 4: Simplify right side
   6,677x = 200,364,025
5. Step 5: Solve for x
   x = 200,364,025/6,677
6. Step 6: Final answer
   x = 30,008.09