Finding the Third Proportional to 1,566.56 and 2,190.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.56 : 2,190.38 = 2,190.38 : x
2. Step 2: Convert to fraction form
   1,566.56/2,190.38 = 2,190.38/x
3. Step 3: Cross multiply
   1,566.56x = 2,190.38 × 2,190.38
4. Step 4: Simplify right side
   1,566.56x = 4,797,742.64
5. Step 5: Solve for x
   x = 4,797,742.64/1,566.56
6. Step 6: Final answer
   x = 3,062.59