Finding the Third Proportional to 3,506.63 and 5,752.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,506.63 : 5,752.69 = 5,752.69 : x
2. Step 2: Convert to fraction form
   3,506.63/5,752.69 = 5,752.69/x
3. Step 3: Cross multiply
   3,506.63x = 5,752.69 × 5,752.69
4. Step 4: Simplify right side
   3,506.63x = 33,093,413.47
5. Step 5: Solve for x
   x = 33,093,413.47/3,506.63
6. Step 6: Final answer
   x = 9,437.40