Finding the Third Proportional to 2,132.58 and 3,182.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132.58 : 3,182.41 = 3,182.41 : x
2. Step 2: Convert to fraction form
   2,132.58/3,182.41 = 3,182.41/x
3. Step 3: Cross multiply
   2,132.58x = 3,182.41 × 3,182.41
4. Step 4: Simplify right side
   2,132.58x = 10,127,759.27
5. Step 5: Solve for x
   x = 10,127,759.27/2,132.58
6. Step 6: Final answer
   x = 4,749.07