Finding the Third Proportional to 14,082 and 30,780

Step by Step Solution

1. Step 1: Write the proportion equation
   14,082 : 30,780 = 30,780 : x
2. Step 2: Convert to fraction form
   14,082/30,780 = 30,780/x
3. Step 3: Cross multiply
   14,082x = 30,780 × 30,780
4. Step 4: Simplify right side
   14,082x = 947,408,400
5. Step 5: Solve for x
   x = 947,408,400/14,082
6. Step 6: Final answer
   x = 67,277.97