Finding the Third Proportional to 2,569.13 and 5,573.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.13 : 5,573.63 = 5,573.63 : x
2. Step 2: Convert to fraction form
   2,569.13/5,573.63 = 5,573.63/x
3. Step 3: Cross multiply
   2,569.13x = 5,573.63 × 5,573.63
4. Step 4: Simplify right side
   2,569.13x = 31,065,295.64
5. Step 5: Solve for x
   x = 31,065,295.64/2,569.13
6. Step 6: Final answer
   x = 12,091.78