Finding the Third Proportional to 2,131.31 and 4,558.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,131.31 : 4,558.69 = 4,558.69 : x
2. Step 2: Convert to fraction form
   2,131.31/4,558.69 = 4,558.69/x
3. Step 3: Cross multiply
   2,131.31x = 4,558.69 × 4,558.69
4. Step 4: Simplify right side
   2,131.31x = 20,781,631.72
5. Step 5: Solve for x
   x = 20,781,631.72/2,131.31
6. Step 6: Final answer
   x = 9,750.63