Finding the Third Proportional to 1,009.50 and 2,255

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.50 : 2,255 = 2,255 : x
2. Step 2: Convert to fraction form
   1,009.50/2,255 = 2,255/x
3. Step 3: Cross multiply
   1,009.50x = 2,255 × 2,255
4. Step 4: Simplify right side
   1,009.50x = 5,085,025
5. Step 5: Solve for x
   x = 5,085,025/1,009.50
6. Step 6: Final answer
   x = 5,037.17