Finding the Third Proportional to 1,776.09 and 2,618.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.09 : 2,618.16 = 2,618.16 : x
2. Step 2: Convert to fraction form
   1,776.09/2,618.16 = 2,618.16/x
3. Step 3: Cross multiply
   1,776.09x = 2,618.16 × 2,618.16
4. Step 4: Simplify right side
   1,776.09x = 6,854,742.15
5. Step 5: Solve for x
   x = 6,854,742.15/1,776.09
6. Step 6: Final answer
   x = 3,859.45