Finding the Third Proportional to 1,278.98 and 1,736.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,278.98 : 1,736.02 = 1,736.02 : x
2. Step 2: Convert to fraction form
   1,278.98/1,736.02 = 1,736.02/x
3. Step 3: Cross multiply
   1,278.98x = 1,736.02 × 1,736.02
4. Step 4: Simplify right side
   1,278.98x = 3,013,750.25
5. Step 5: Solve for x
   x = 3,013,750.25/1,278.98
6. Step 6: Final answer
   x = 2,356.36