Finding the Third Proportional to 2,515.50 and 5,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,515.50 : 5,107.50 = 5,107.50 : x
2. Step 2: Convert to fraction form
   2,515.50/5,107.50 = 5,107.50/x
3. Step 3: Cross multiply
   2,515.50x = 5,107.50 × 5,107.50
4. Step 4: Simplify right side
   2,515.50x = 26,086,556.25
5. Step 5: Solve for x
   x = 26,086,556.25/2,515.50
6. Step 6: Final answer
   x = 10,370.33