Finding the Third Proportional to 1,405.69 and 3,203.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 3,203.72 = 3,203.72 : x
2. Step 2: Convert to fraction form
   1,405.69/3,203.72 = 3,203.72/x
3. Step 3: Cross multiply
   1,405.69x = 3,203.72 × 3,203.72
4. Step 4: Simplify right side
   1,405.69x = 10,263,813.83
5. Step 5: Solve for x
   x = 10,263,813.83/1,405.69
6. Step 6: Final answer
   x = 7,301.63