Finding the Third Proportional to 543.56 and 960.56

Step by Step Solution

1. Step 1: Write the proportion equation
   543.56 : 960.56 = 960.56 : x
2. Step 2: Convert to fraction form
   543.56/960.56 = 960.56/x
3. Step 3: Cross multiply
   543.56x = 960.56 × 960.56
4. Step 4: Simplify right side
   543.56x = 922,680.32
5. Step 5: Solve for x
   x = 922,680.32/543.56
6. Step 6: Final answer
   x = 1,697.47