Finding the Third Proportional to 5,676.80 and 7,816.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,676.80 : 7,816.82 = 7,816.82 : x
2. Step 2: Convert to fraction form
   5,676.80/7,816.82 = 7,816.82/x
3. Step 3: Cross multiply
   5,676.80x = 7,816.82 × 7,816.82
4. Step 4: Simplify right side
   5,676.80x = 61,102,618.73
5. Step 5: Solve for x
   x = 61,102,618.73/5,676.80
6. Step 6: Final answer
   x = 10,763.56