Finding the Third Proportional to 1,054.81 and 2,271.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.81 : 2,271.88 = 2,271.88 : x
2. Step 2: Convert to fraction form
   1,054.81/2,271.88 = 2,271.88/x
3. Step 3: Cross multiply
   1,054.81x = 2,271.88 × 2,271.88
4. Step 4: Simplify right side
   1,054.81x = 5,161,416.02
5. Step 5: Solve for x
   x = 5,161,416.02/1,054.81
6. Step 6: Final answer
   x = 4,893.21