Finding the Third Proportional to 3,550.50 and 5,342.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,550.50 : 5,342.63 = 5,342.63 : x
2. Step 2: Convert to fraction form
   3,550.50/5,342.63 = 5,342.63/x
3. Step 3: Cross multiply
   3,550.50x = 5,342.63 × 5,342.63
4. Step 4: Simplify right side
   3,550.50x = 28,543,641.89
5. Step 5: Solve for x
   x = 28,543,641.89/3,550.50
6. Step 6: Final answer
   x = 8,039.33