Finding the Third Proportional to 1,054.27 and 2,270.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.27 : 2,270.53 = 2,270.53 : x
2. Step 2: Convert to fraction form
   1,054.27/2,270.53 = 2,270.53/x
3. Step 3: Cross multiply
   1,054.27x = 2,270.53 × 2,270.53
4. Step 4: Simplify right side
   1,054.27x = 5,155,312.16
5. Step 5: Solve for x
   x = 5,155,312.16/1,054.27
6. Step 6: Final answer
   x = 4,889.96