Finding the Third Proportional to 489.87 and 1,054.72

Step by Step Solution

1. Step 1: Write the proportion equation
   489.87 : 1,054.72 = 1,054.72 : x
2. Step 2: Convert to fraction form
   489.87/1,054.72 = 1,054.72/x
3. Step 3: Cross multiply
   489.87x = 1,054.72 × 1,054.72
4. Step 4: Simplify right side
   489.87x = 1,112,439.88
5. Step 5: Solve for x
   x = 1,112,439.88/489.87
6. Step 6: Final answer
   x = 2,270.90