Finding the Third Proportional to 1,765.55 and 3,806.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,765.55 : 3,806.37 = 3,806.37 : x
2. Step 2: Convert to fraction form
   1,765.55/3,806.37 = 3,806.37/x
3. Step 3: Cross multiply
   1,765.55x = 3,806.37 × 3,806.37
4. Step 4: Simplify right side
   1,765.55x = 14,488,431.17
5. Step 5: Solve for x
   x = 14,488,431.17/1,765.55
6. Step 6: Final answer
   x = 8,206.20