Finding the Third Proportional to 1,271.06 and 1,823.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.06 : 1,823.06 = 1,823.06 : x
2. Step 2: Convert to fraction form
   1,271.06/1,823.06 = 1,823.06/x
3. Step 3: Cross multiply
   1,271.06x = 1,823.06 × 1,823.06
4. Step 4: Simplify right side
   1,271.06x = 3,323,556.88
5. Step 5: Solve for x
   x = 3,323,556.88/1,271.06
6. Step 6: Final answer
   x = 2,614.79