Finding the Third Proportional to 1,291.57 and 2,808.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.57 : 2,808.42 = 2,808.42 : x
2. Step 2: Convert to fraction form
   1,291.57/2,808.42 = 2,808.42/x
3. Step 3: Cross multiply
   1,291.57x = 2,808.42 × 2,808.42
4. Step 4: Simplify right side
   1,291.57x = 7,887,233.43
5. Step 5: Solve for x
   x = 7,887,233.43/1,291.57
6. Step 6: Final answer
   x = 6,106.70