Finding the Third Proportional to 1,271.81 and 1,884.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.81 : 1,884.09 = 1,884.09 : x
2. Step 2: Convert to fraction form
   1,271.81/1,884.09 = 1,884.09/x
3. Step 3: Cross multiply
   1,271.81x = 1,884.09 × 1,884.09
4. Step 4: Simplify right side
   1,271.81x = 3,549,809.26
5. Step 5: Solve for x
   x = 3,549,809.26/1,271.81
6. Step 6: Final answer
   x = 2,791.14