Finding the Third Proportional to 1,417.82 and 3,081.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.82 : 3,081.80 = 3,081.80 : x
2. Step 2: Convert to fraction form
   1,417.82/3,081.80 = 3,081.80/x
3. Step 3: Cross multiply
   1,417.82x = 3,081.80 × 3,081.80
4. Step 4: Simplify right side
   1,417.82x = 9,497,471.98
5. Step 5: Solve for x
   x = 9,497,471.98/1,417.82
6. Step 6: Final answer
   x = 6,698.66