Finding the Third Proportional to 1,271.25 and 1,942.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.25 : 1,942.88 = 1,942.88 : x
2. Step 2: Convert to fraction form
   1,271.25/1,942.88 = 1,942.88/x
3. Step 3: Cross multiply
   1,271.25x = 1,942.88 × 1,942.88
4. Step 4: Simplify right side
   1,271.25x = 3,774,763.27
5. Step 5: Solve for x
   x = 3,774,763.27/1,271.25
6. Step 6: Final answer
   x = 2,969.33