Finding the Third Proportional to 2,661.75 and 4,539.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.75 : 4,539.38 = 4,539.38 : x
2. Step 2: Convert to fraction form
   2,661.75/4,539.38 = 4,539.38/x
3. Step 3: Cross multiply
   2,661.75x = 4,539.38 × 4,539.38
4. Step 4: Simplify right side
   2,661.75x = 20,605,925.39
5. Step 5: Solve for x
   x = 20,605,925.39/2,661.75
6. Step 6: Final answer
   x = 7,741.50