Finding the Third Proportional to 1,513.50 and 2,271.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.50 : 2,271.19 = 2,271.19 : x
2. Step 2: Convert to fraction form
   1,513.50/2,271.19 = 2,271.19/x
3. Step 3: Cross multiply
   1,513.50x = 2,271.19 × 2,271.19
4. Step 4: Simplify right side
   1,513.50x = 5,158,292.66
5. Step 5: Solve for x
   x = 5,158,292.66/1,513.50
6. Step 6: Final answer
   x = 3,408.19