Finding the Third Proportional to 1,735.88 and 3,819.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,735.88 : 3,819.38 = 3,819.38 : x
2. Step 2: Convert to fraction form
   1,735.88/3,819.38 = 3,819.38/x
3. Step 3: Cross multiply
   1,735.88x = 3,819.38 × 3,819.38
4. Step 4: Simplify right side
   1,735.88x = 14,587,625.39
5. Step 5: Solve for x
   x = 14,587,625.39/1,735.88
6. Step 6: Final answer
   x = 8,403.62