Finding the Third Proportional to 1,126.88 and 1,608.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,126.88 : 1,608.56 = 1,608.56 : x
2. Step 2: Convert to fraction form
   1,126.88/1,608.56 = 1,608.56/x
3. Step 3: Cross multiply
   1,126.88x = 1,608.56 × 1,608.56
4. Step 4: Simplify right side
   1,126.88x = 2,587,473.32
5. Step 5: Solve for x
   x = 2,587,473.32/1,126.88
6. Step 6: Final answer
   x = 2,296.15