Finding the Third Proportional to 7,978 and 10,832

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978 : 10,832 = 10,832 : x
2. Step 2: Convert to fraction form
   7,978/10,832 = 10,832/x
3. Step 3: Cross multiply
   7,978x = 10,832 × 10,832
4. Step 4: Simplify right side
   7,978x = 117,332,224
5. Step 5: Solve for x
   x = 117,332,224/7,978
6. Step 6: Final answer
   x = 14,706.97