Finding the Third Proportional to 6,820.14 and 10,682.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820.14 : 10,682.98 = 10,682.98 : x
2. Step 2: Convert to fraction form
   6,820.14/10,682.98 = 10,682.98/x
3. Step 3: Cross multiply
   6,820.14x = 10,682.98 × 10,682.98
4. Step 4: Simplify right side
   6,820.14x = 114,126,113.43
5. Step 5: Solve for x
   x = 114,126,113.43/6,820.14
6. Step 6: Final answer
   x = 16,733.70