Finding the Third Proportional to 1,291.57 and 1,917.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.57 : 1,917.42 = 1,917.42 : x
2. Step 2: Convert to fraction form
   1,291.57/1,917.42 = 1,917.42/x
3. Step 3: Cross multiply
   1,291.57x = 1,917.42 × 1,917.42
4. Step 4: Simplify right side
   1,291.57x = 3,676,506.65
5. Step 5: Solve for x
   x = 3,676,506.65/1,291.57
6. Step 6: Final answer
   x = 2,846.54