Finding the Third Proportional to 3,666.56 and 5,679.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,666.56 : 5,679.94 = 5,679.94 : x
2. Step 2: Convert to fraction form
   3,666.56/5,679.94 = 5,679.94/x
3. Step 3: Cross multiply
   3,666.56x = 5,679.94 × 5,679.94
4. Step 4: Simplify right side
   3,666.56x = 32,261,690.00
5. Step 5: Solve for x
   x = 32,261,690.00/3,666.56
6. Step 6: Final answer
   x = 8,798.89