Finding the Third Proportional to 6,978 and 10,107

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 10,107 = 10,107 : x
2. Step 2: Convert to fraction form
   6,978/10,107 = 10,107/x
3. Step 3: Cross multiply
   6,978x = 10,107 × 10,107
4. Step 4: Simplify right side
   6,978x = 102,151,449
5. Step 5: Solve for x
   x = 102,151,449/6,978
6. Step 6: Final answer
   x = 14,639.07