Finding the Third Proportional to 2,313.70 and 5,077.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,313.70 : 5,077.69 = 5,077.69 : x
2. Step 2: Convert to fraction form
   2,313.70/5,077.69 = 5,077.69/x
3. Step 3: Cross multiply
   2,313.70x = 5,077.69 × 5,077.69
4. Step 4: Simplify right side
   2,313.70x = 25,782,910.35
5. Step 5: Solve for x
   x = 25,782,910.35/2,313.70
6. Step 6: Final answer
   x = 11,143.57