Finding the Third Proportional to 470.18 and 1,005.54

Step by Step Solution

1. Step 1: Write the proportion equation
   470.18 : 1,005.54 = 1,005.54 : x
2. Step 2: Convert to fraction form
   470.18/1,005.54 = 1,005.54/x
3. Step 3: Cross multiply
   470.18x = 1,005.54 × 1,005.54
4. Step 4: Simplify right side
   470.18x = 1,011,108.81
5. Step 5: Solve for x
   x = 1,011,108.81/470.18
6. Step 6: Final answer
   x = 2,150.47