Finding the Third Proportional to 3,493.13 and 5,776.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,493.13 : 5,776.31 = 5,776.31 : x
2. Step 2: Convert to fraction form
   3,493.13/5,776.31 = 5,776.31/x
3. Step 3: Cross multiply
   3,493.13x = 5,776.31 × 5,776.31
4. Step 4: Simplify right side
   3,493.13x = 33,365,786.10
5. Step 5: Solve for x
   x = 33,365,786.10/3,493.13
6. Step 6: Final answer
   x = 9,551.84