Finding the Third Proportional to 6,820.14 and 13,836.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820.14 : 13,836.76 = 13,836.76 : x
2. Step 2: Convert to fraction form
   6,820.14/13,836.76 = 13,836.76/x
3. Step 3: Cross multiply
   6,820.14x = 13,836.76 × 13,836.76
4. Step 4: Simplify right side
   6,820.14x = 191,455,974.86
5. Step 5: Solve for x
   x = 191,455,974.86/6,820.14
6. Step 6: Final answer
   x = 28,072.16