Finding the Third Proportional to 5,749.50 and 8,626.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,749.50 : 8,626.13 = 8,626.13 : x
2. Step 2: Convert to fraction form
   5,749.50/8,626.13 = 8,626.13/x
3. Step 3: Cross multiply
   5,749.50x = 8,626.13 × 8,626.13
4. Step 4: Simplify right side
   5,749.50x = 74,410,032.52
5. Step 5: Solve for x
   x = 74,410,032.52/5,749.50
6. Step 6: Final answer
   x = 12,942.00