Finding the Third Proportional to 2,081.81 and 3,116.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.81 : 3,116.44 = 3,116.44 : x
2. Step 2: Convert to fraction form
   2,081.81/3,116.44 = 3,116.44/x
3. Step 3: Cross multiply
   2,081.81x = 3,116.44 × 3,116.44
4. Step 4: Simplify right side
   2,081.81x = 9,712,182.69
5. Step 5: Solve for x
   x = 9,712,182.69/2,081.81
6. Step 6: Final answer
   x = 4,665.25