Finding the Third Proportional to 1,274.75 and 1,994.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.75 : 1,994.25 = 1,994.25 : x
2. Step 2: Convert to fraction form
   1,274.75/1,994.25 = 1,994.25/x
3. Step 3: Cross multiply
   1,274.75x = 1,994.25 × 1,994.25
4. Step 4: Simplify right side
   1,274.75x = 3,977,033.06
5. Step 5: Solve for x
   x = 3,977,033.06/1,274.75
6. Step 6: Final answer
   x = 3,119.85