Finding the Third Proportional to 6,978 and 13,524

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 13,524 = 13,524 : x
2. Step 2: Convert to fraction form
   6,978/13,524 = 13,524/x
3. Step 3: Cross multiply
   6,978x = 13,524 × 13,524
4. Step 4: Simplify right side
   6,978x = 182,898,576
5. Step 5: Solve for x
   x = 182,898,576/6,978
6. Step 6: Final answer
   x = 26,210.74