Finding the Third Proportional to 7,646 and 10,982

Step by Step Solution

1. Step 1: Write the proportion equation
   7,646 : 10,982 = 10,982 : x
2. Step 2: Convert to fraction form
   7,646/10,982 = 10,982/x
3. Step 3: Cross multiply
   7,646x = 10,982 × 10,982
4. Step 4: Simplify right side
   7,646x = 120,604,324
5. Step 5: Solve for x
   x = 120,604,324/7,646
6. Step 6: Final answer
   x = 15,773.52