Finding the Third Proportional to 11,978 and 14,174

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978 : 14,174 = 14,174 : x
2. Step 2: Convert to fraction form
   11,978/14,174 = 14,174/x
3. Step 3: Cross multiply
   11,978x = 14,174 × 14,174
4. Step 4: Simplify right side
   11,978x = 200,902,276
5. Step 5: Solve for x
   x = 200,902,276/11,978
6. Step 6: Final answer
   x = 16,772.61