Finding the Third Proportional to 6,231 and 13,677

Step by Step Solution

1. Step 1: Write the proportion equation
   6,231 : 13,677 = 13,677 : x
2. Step 2: Convert to fraction form
   6,231/13,677 = 13,677/x
3. Step 3: Cross multiply
   6,231x = 13,677 × 13,677
4. Step 4: Simplify right side
   6,231x = 187,060,329
5. Step 5: Solve for x
   x = 187,060,329/6,231
6. Step 6: Final answer
   x = 30,020.92