Finding the Third Proportional to 6,978.38 and 10,808.44

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.38 : 10,808.44 = 10,808.44 : x
2. Step 2: Convert to fraction form
   6,978.38/10,808.44 = 10,808.44/x
3. Step 3: Cross multiply
   6,978.38x = 10,808.44 × 10,808.44
4. Step 4: Simplify right side
   6,978.38x = 116,822,321.19
5. Step 5: Solve for x
   x = 116,822,321.19/6,978.38
6. Step 6: Final answer
   x = 16,740.62