Finding the Third Proportional to 1,414.97 and 2,081.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.97 : 2,081.95 = 2,081.95 : x
2. Step 2: Convert to fraction form
   1,414.97/2,081.95 = 2,081.95/x
3. Step 3: Cross multiply
   1,414.97x = 2,081.95 × 2,081.95
4. Step 4: Simplify right side
   1,414.97x = 4,334,528.81
5. Step 5: Solve for x
   x = 4,334,528.81/1,414.97
6. Step 6: Final answer
   x = 3,063.34