Finding the Third Proportional to 1,649.63 and 3,603.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,649.63 : 3,603.75 = 3,603.75 : x
2. Step 2: Convert to fraction form
   1,649.63/3,603.75 = 3,603.75/x
3. Step 3: Cross multiply
   1,649.63x = 3,603.75 × 3,603.75
4. Step 4: Simplify right side
   1,649.63x = 12,987,014.06
5. Step 5: Solve for x
   x = 12,987,014.06/1,649.63
6. Step 6: Final answer
   x = 7,872.71