Finding the Third Proportional to 1,009 and 1,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009 : 1,382.50 = 1,382.50 : x
2. Step 2: Convert to fraction form
   1,009/1,382.50 = 1,382.50/x
3. Step 3: Cross multiply
   1,009x = 1,382.50 × 1,382.50
4. Step 4: Simplify right side
   1,009x = 1,911,306.25
5. Step 5: Solve for x
   x = 1,911,306.25/1,009
6. Step 6: Final answer
   x = 1,894.26