Finding the Third Proportional to 1,493 and 3,259.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493 : 3,259.25 = 3,259.25 : x
2. Step 2: Convert to fraction form
   1,493/3,259.25 = 3,259.25/x
3. Step 3: Cross multiply
   1,493x = 3,259.25 × 3,259.25
4. Step 4: Simplify right side
   1,493x = 10,622,710.56
5. Step 5: Solve for x
   x = 10,622,710.56/1,493
6. Step 6: Final answer
   x = 7,115.01