Finding the Third Proportional to 10,978 and 14,819

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 14,819 = 14,819 : x
2. Step 2: Convert to fraction form
   10,978/14,819 = 14,819/x
3. Step 3: Cross multiply
   10,978x = 14,819 × 14,819
4. Step 4: Simplify right side
   10,978x = 219,602,761
5. Step 5: Solve for x
   x = 219,602,761/10,978
6. Step 6: Final answer
   x = 20,003.90