Finding the Third Proportional to 552.56 and 1,162.69

Step by Step Solution

1. Step 1: Write the proportion equation
   552.56 : 1,162.69 = 1,162.69 : x
2. Step 2: Convert to fraction form
   552.56/1,162.69 = 1,162.69/x
3. Step 3: Cross multiply
   552.56x = 1,162.69 × 1,162.69
4. Step 4: Simplify right side
   552.56x = 1,351,842.22
5. Step 5: Solve for x
   x = 1,351,842.22/552.56
6. Step 6: Final answer
   x = 2,446.50