Finding the Third Proportional to 851.06 and 1,264.78

Step by Step Solution

1. Step 1: Write the proportion equation
   851.06 : 1,264.78 = 1,264.78 : x
2. Step 2: Convert to fraction form
   851.06/1,264.78 = 1,264.78/x
3. Step 3: Cross multiply
   851.06x = 1,264.78 × 1,264.78
4. Step 4: Simplify right side
   851.06x = 1,599,671.61
5. Step 5: Solve for x
   x = 1,599,671.61/851.06
6. Step 6: Final answer
   x = 1,879.62