Finding the Third Proportional to 9,082 and 13,677

Step by Step Solution

1. Step 1: Write the proportion equation
   9,082 : 13,677 = 13,677 : x
2. Step 2: Convert to fraction form
   9,082/13,677 = 13,677/x
3. Step 3: Cross multiply
   9,082x = 13,677 × 13,677
4. Step 4: Simplify right side
   9,082x = 187,060,329
5. Step 5: Solve for x
   x = 187,060,329/9,082
6. Step 6: Final answer
   x = 20,596.82