Finding the Third Proportional to 459.84 and 1,054.27

Step by Step Solution

1. Step 1: Write the proportion equation
   459.84 : 1,054.27 = 1,054.27 : x
2. Step 2: Convert to fraction form
   459.84/1,054.27 = 1,054.27/x
3. Step 3: Cross multiply
   459.84x = 1,054.27 × 1,054.27
4. Step 4: Simplify right side
   459.84x = 1,111,476.01
5. Step 5: Solve for x
   x = 1,111,476.01/459.84
6. Step 6: Final answer
   x = 2,417.07