Finding the Third Proportional to 3,759 and 5,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,759 : 5,749.50 = 5,749.50 : x
2. Step 2: Convert to fraction form
   3,759/5,749.50 = 5,749.50/x
3. Step 3: Cross multiply
   3,759x = 5,749.50 × 5,749.50
4. Step 4: Simplify right side
   3,759x = 33,056,750.25
5. Step 5: Solve for x
   x = 33,056,750.25/3,759
6. Step 6: Final answer
   x = 8,794.03