Finding the Third Proportional to 2,570.63 and 5,616.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.63 : 5,616.56 = 5,616.56 : x
2. Step 2: Convert to fraction form
   2,570.63/5,616.56 = 5,616.56/x
3. Step 3: Cross multiply
   2,570.63x = 5,616.56 × 5,616.56
4. Step 4: Simplify right side
   2,570.63x = 31,545,774.32
5. Step 5: Solve for x
   x = 31,545,774.32/2,570.63
6. Step 6: Final answer
   x = 12,271.64