Finding the Third Proportional to 5,794.66 and 7,871.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,794.66 : 7,871.55 = 7,871.55 : x
2. Step 2: Convert to fraction form
   5,794.66/7,871.55 = 7,871.55/x
3. Step 3: Cross multiply
   5,794.66x = 7,871.55 × 7,871.55
4. Step 4: Simplify right side
   5,794.66x = 61,961,373.20
5. Step 5: Solve for x
   x = 61,961,373.20/5,794.66
6. Step 6: Final answer
   x = 10,692.83