Finding the Third Proportional to 7,832 and 10,436

Step by Step Solution

1. Step 1: Write the proportion equation
   7,832 : 10,436 = 10,436 : x
2. Step 2: Convert to fraction form
   7,832/10,436 = 10,436/x
3. Step 3: Cross multiply
   7,832x = 10,436 × 10,436
4. Step 4: Simplify right side
   7,832x = 108,910,096
5. Step 5: Solve for x
   x = 108,910,096/7,832
6. Step 6: Final answer
   x = 13,905.78