Finding the Third Proportional to 1,413 and 3,267.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413 : 3,267.56 = 3,267.56 : x
2. Step 2: Convert to fraction form
   1,413/3,267.56 = 3,267.56/x
3. Step 3: Cross multiply
   1,413x = 3,267.56 × 3,267.56
4. Step 4: Simplify right side
   1,413x = 10,676,964.69
5. Step 5: Solve for x
   x = 10,676,964.69/1,413
6. Step 6: Final answer
   x = 7,556.24