Finding the Third Proportional to 6,978 and 10,472.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 10,472.25 = 10,472.25 : x
2. Step 2: Convert to fraction form
   6,978/10,472.25 = 10,472.25/x
3. Step 3: Cross multiply
   6,978x = 10,472.25 × 10,472.25
4. Step 4: Simplify right side
   6,978x = 109,668,020.06
5. Step 5: Solve for x
   x = 109,668,020.06/6,978
6. Step 6: Final answer
   x = 15,716.25