Finding the Third Proportional to 2,081.97 and 3,113.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.97 : 3,113.07 = 3,113.07 : x
2. Step 2: Convert to fraction form
   2,081.97/3,113.07 = 3,113.07/x
3. Step 3: Cross multiply
   2,081.97x = 3,113.07 × 3,113.07
4. Step 4: Simplify right side
   2,081.97x = 9,691,194.61
5. Step 5: Solve for x
   x = 9,691,194.61/2,081.97
6. Step 6: Final answer
   x = 4,654.82