Finding the Third Proportional to 838.16 and 1,255.82

Step by Step Solution

1. Step 1: Write the proportion equation
   838.16 : 1,255.82 = 1,255.82 : x
2. Step 2: Convert to fraction form
   838.16/1,255.82 = 1,255.82/x
3. Step 3: Cross multiply
   838.16x = 1,255.82 × 1,255.82
4. Step 4: Simplify right side
   838.16x = 1,577,074.85
5. Step 5: Solve for x
   x = 1,577,074.85/838.16
6. Step 6: Final answer
   x = 1,881.59