Finding the Third Proportional to 1,603.69 and 3,475.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.69 : 3,475.69 = 3,475.69 : x
2. Step 2: Convert to fraction form
   1,603.69/3,475.69 = 3,475.69/x
3. Step 3: Cross multiply
   1,603.69x = 3,475.69 × 3,475.69
4. Step 4: Simplify right side
   1,603.69x = 12,080,403.60
5. Step 5: Solve for x
   x = 12,080,403.60/1,603.69
6. Step 6: Final answer
   x = 7,532.89