Finding the Third Proportional to 10,682 and 12,158

Step by Step Solution

1. Step 1: Write the proportion equation
   10,682 : 12,158 = 12,158 : x
2. Step 2: Convert to fraction form
   10,682/12,158 = 12,158/x
3. Step 3: Cross multiply
   10,682x = 12,158 × 12,158
4. Step 4: Simplify right side
   10,682x = 147,816,964
5. Step 5: Solve for x
   x = 147,816,964/10,682
6. Step 6: Final answer
   x = 13,837.95