Finding the Third Proportional to 6,978 and 13,137

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 13,137 = 13,137 : x
2. Step 2: Convert to fraction form
   6,978/13,137 = 13,137/x
3. Step 3: Cross multiply
   6,978x = 13,137 × 13,137
4. Step 4: Simplify right side
   6,978x = 172,580,769
5. Step 5: Solve for x
   x = 172,580,769/6,978
6. Step 6: Final answer
   x = 24,732.13