Finding the Third Proportional to 2,085.19 and 2,808.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.19 : 2,808.56 = 2,808.56 : x
2. Step 2: Convert to fraction form
   2,085.19/2,808.56 = 2,808.56/x
3. Step 3: Cross multiply
   2,085.19x = 2,808.56 × 2,808.56
4. Step 4: Simplify right side
   2,085.19x = 7,888,023.32
5. Step 5: Solve for x
   x = 7,888,023.32/2,085.19
6. Step 6: Final answer
   x = 3,782.88