Finding the Third Proportional to 1,409.59 and 3,254.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.59 : 3,254.87 = 3,254.87 : x
2. Step 2: Convert to fraction form
   1,409.59/3,254.87 = 3,254.87/x
3. Step 3: Cross multiply
   1,409.59x = 3,254.87 × 3,254.87
4. Step 4: Simplify right side
   1,409.59x = 10,594,185.84
5. Step 5: Solve for x
   x = 10,594,185.84/1,409.59
6. Step 6: Final answer
   x = 7,515.79