Finding the Third Proportional to 1,513.50 and 3,225.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.50 : 3,225.56 = 3,225.56 : x
2. Step 2: Convert to fraction form
   1,513.50/3,225.56 = 3,225.56/x
3. Step 3: Cross multiply
   1,513.50x = 3,225.56 × 3,225.56
4. Step 4: Simplify right side
   1,513.50x = 10,404,253.44
5. Step 5: Solve for x
   x = 10,404,253.44/1,513.50
6. Step 6: Final answer
   x = 6,874.30