Finding the Third Proportional to 6,978 and 14,592

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 14,592 = 14,592 : x
2. Step 2: Convert to fraction form
   6,978/14,592 = 14,592/x
3. Step 3: Cross multiply
   6,978x = 14,592 × 14,592
4. Step 4: Simplify right side
   6,978x = 212,926,464
5. Step 5: Solve for x
   x = 212,926,464/6,978
6. Step 6: Final answer
   x = 30,513.97