Finding the Third Proportional to 10,076 and 13,682

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076 : 13,682 = 13,682 : x
2. Step 2: Convert to fraction form
   10,076/13,682 = 13,682/x
3. Step 3: Cross multiply
   10,076x = 13,682 × 13,682
4. Step 4: Simplify right side
   10,076x = 187,197,124
5. Step 5: Solve for x
   x = 187,197,124/10,076
6. Step 6: Final answer
   x = 18,578.52