Finding the Third Proportional to 6,906.38 and 10,621.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.38 : 10,621.69 = 10,621.69 : x
2. Step 2: Convert to fraction form
   6,906.38/10,621.69 = 10,621.69/x
3. Step 3: Cross multiply
   6,906.38x = 10,621.69 × 10,621.69
4. Step 4: Simplify right side
   6,906.38x = 112,820,245.35
5. Step 5: Solve for x
   x = 112,820,245.35/6,906.38
6. Step 6: Final answer
   x = 16,335.67