Finding the Third Proportional to 2,265.25 and 5,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,265.25 : 5,016.50 = 5,016.50 : x
2. Step 2: Convert to fraction form
   2,265.25/5,016.50 = 5,016.50/x
3. Step 3: Cross multiply
   2,265.25x = 5,016.50 × 5,016.50
4. Step 4: Simplify right side
   2,265.25x = 25,165,272.25
5. Step 5: Solve for x
   x = 25,165,272.25/2,265.25
6. Step 6: Final answer
   x = 11,109.27