Finding the Third Proportional to 3,727.69 and 5,774.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.69 : 5,774.63 = 5,774.63 : x
2. Step 2: Convert to fraction form
   3,727.69/5,774.63 = 5,774.63/x
3. Step 3: Cross multiply
   3,727.69x = 5,774.63 × 5,774.63
4. Step 4: Simplify right side
   3,727.69x = 33,346,293.89
5. Step 5: Solve for x
   x = 33,346,293.89/3,727.69
6. Step 6: Final answer
   x = 8,945.57