Finding the Third Proportional to 4,120.50 and 5,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,120.50 : 5,764.50 = 5,764.50 : x
2. Step 2: Convert to fraction form
   4,120.50/5,764.50 = 5,764.50/x
3. Step 3: Cross multiply
   4,120.50x = 5,764.50 × 5,764.50
4. Step 4: Simplify right side
   4,120.50x = 33,229,460.25
5. Step 5: Solve for x
   x = 33,229,460.25/4,120.50
6. Step 6: Final answer
   x = 8,064.42