Finding the Third Proportional to 832.94 and 1,255.82

Step by Step Solution

1. Step 1: Write the proportion equation
   832.94 : 1,255.82 = 1,255.82 : x
2. Step 2: Convert to fraction form
   832.94/1,255.82 = 1,255.82/x
3. Step 3: Cross multiply
   832.94x = 1,255.82 × 1,255.82
4. Step 4: Simplify right side
   832.94x = 1,577,074.85
5. Step 5: Solve for x
   x = 1,577,074.85/832.94
6. Step 6: Final answer
   x = 1,893.38