Finding the Third Proportional to 1,819.97 and 4,111.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,819.97 : 4,111.17 = 4,111.17 : x
2. Step 2: Convert to fraction form
   1,819.97/4,111.17 = 4,111.17/x
3. Step 3: Cross multiply
   1,819.97x = 4,111.17 × 4,111.17
4. Step 4: Simplify right side
   1,819.97x = 16,901,734.19
5. Step 5: Solve for x
   x = 16,901,734.19/1,819.97
6. Step 6: Final answer
   x = 9,286.83