Finding the Third Proportional to 2,265 and 5,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,265 : 5,317.50 = 5,317.50 : x
2. Step 2: Convert to fraction form
   2,265/5,317.50 = 5,317.50/x
3. Step 3: Cross multiply
   2,265x = 5,317.50 × 5,317.50
4. Step 4: Simplify right side
   2,265x = 28,275,806.25
5. Step 5: Solve for x
   x = 28,275,806.25/2,265
6. Step 6: Final answer
   x = 12,483.80