Finding the Third Proportional to 566.56 and 1,201.38

Step by Step Solution

1. Step 1: Write the proportion equation
   566.56 : 1,201.38 = 1,201.38 : x
2. Step 2: Convert to fraction form
   566.56/1,201.38 = 1,201.38/x
3. Step 3: Cross multiply
   566.56x = 1,201.38 × 1,201.38
4. Step 4: Simplify right side
   566.56x = 1,443,301.89
5. Step 5: Solve for x
   x = 1,443,301.89/566.56
6. Step 6: Final answer
   x = 2,547.47