Finding the Third Proportional to 3,646.69 and 5,773.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.69 : 5,773.78 = 5,773.78 : x
2. Step 2: Convert to fraction form
   3,646.69/5,773.78 = 5,773.78/x
3. Step 3: Cross multiply
   3,646.69x = 5,773.78 × 5,773.78
4. Step 4: Simplify right side
   3,646.69x = 33,336,549.92
5. Step 5: Solve for x
   x = 33,336,549.92/3,646.69
6. Step 6: Final answer
   x = 9,141.60