Finding the Third Proportional to 3,538.69 and 4,763.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 4,763.81 = 4,763.81 : x
2. Step 2: Convert to fraction form
   3,538.69/4,763.81 = 4,763.81/x
3. Step 3: Cross multiply
   3,538.69x = 4,763.81 × 4,763.81
4. Step 4: Simplify right side
   3,538.69x = 22,693,909.54
5. Step 5: Solve for x
   x = 22,693,909.54/3,538.69
6. Step 6: Final answer
   x = 6,413.09