Finding the Third Proportional to 2,131.13 and 4,558.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,131.13 : 4,558.31 = 4,558.31 : x
2. Step 2: Convert to fraction form
   2,131.13/4,558.31 = 4,558.31/x
3. Step 3: Cross multiply
   2,131.13x = 4,558.31 × 4,558.31
4. Step 4: Simplify right side
   2,131.13x = 20,778,212.85
5. Step 5: Solve for x
   x = 20,778,212.85/2,131.13
6. Step 6: Final answer
   x = 9,749.88