Finding the Third Proportional to 2,570.63 and 5,220.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.63 : 5,220.56 = 5,220.56 : x
2. Step 2: Convert to fraction form
   2,570.63/5,220.56 = 5,220.56/x
3. Step 3: Cross multiply
   2,570.63x = 5,220.56 × 5,220.56
4. Step 4: Simplify right side
   2,570.63x = 27,254,272.82
5. Step 5: Solve for x
   x = 27,254,272.82/2,570.63
6. Step 6: Final answer
   x = 10,602.20