Finding the Third Proportional to 2,993.06 and 5,577.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,993.06 : 5,577.75 = 5,577.75 : x
2. Step 2: Convert to fraction form
   2,993.06/5,577.75 = 5,577.75/x
3. Step 3: Cross multiply
   2,993.06x = 5,577.75 × 5,577.75
4. Step 4: Simplify right side
   2,993.06x = 31,111,295.06
5. Step 5: Solve for x
   x = 31,111,295.06/2,993.06
6. Step 6: Final answer
   x = 10,394.47