Finding the Third Proportional to 1,566.56 and 2,216.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.56 : 2,216.53 = 2,216.53 : x
2. Step 2: Convert to fraction form
   1,566.56/2,216.53 = 2,216.53/x
3. Step 3: Cross multiply
   1,566.56x = 2,216.53 × 2,216.53
4. Step 4: Simplify right side
   1,566.56x = 4,913,010.78
5. Step 5: Solve for x
   x = 4,913,010.78/1,566.56
6. Step 6: Final answer
   x = 3,136.17