Finding the Third Proportional to 1,342.83 and 1,782.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,342.83 : 1,782.42 = 1,782.42 : x
2. Step 2: Convert to fraction form
   1,342.83/1,782.42 = 1,782.42/x
3. Step 3: Cross multiply
   1,342.83x = 1,782.42 × 1,782.42
4. Step 4: Simplify right side
   1,342.83x = 3,177,027.74
5. Step 5: Solve for x
   x = 3,177,027.74/1,342.83
6. Step 6: Final answer
   x = 2,365.92