Finding the Third Proportional to 540.50 and 1,009

Step by Step Solution

1. Step 1: Write the proportion equation
   540.50 : 1,009 = 1,009 : x
2. Step 2: Convert to fraction form
   540.50/1,009 = 1,009/x
3. Step 3: Cross multiply
   540.50x = 1,009 × 1,009
4. Step 4: Simplify right side
   540.50x = 1,018,081
5. Step 5: Solve for x
   x = 1,018,081/540.50
6. Step 6: Final answer
   x = 1,883.59