Finding the Third Proportional to 2,654.96 and 5,821.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.96 : 5,821.56 = 5,821.56 : x
2. Step 2: Convert to fraction form
   2,654.96/5,821.56 = 5,821.56/x
3. Step 3: Cross multiply
   2,654.96x = 5,821.56 × 5,821.56
4. Step 4: Simplify right side
   2,654.96x = 33,890,544.46
5. Step 5: Solve for x
   x = 33,890,544.46/2,654.96
6. Step 6: Final answer
   x = 12,764.97