Finding the Third Proportional to 561.62 and 1,150.77

Step by Step Solution

1. Step 1: Write the proportion equation
   561.62 : 1,150.77 = 1,150.77 : x
2. Step 2: Convert to fraction form
   561.62/1,150.77 = 1,150.77/x
3. Step 3: Cross multiply
   561.62x = 1,150.77 × 1,150.77
4. Step 4: Simplify right side
   561.62x = 1,324,270.51
5. Step 5: Solve for x
   x = 1,324,270.51/561.62
6. Step 6: Final answer
   x = 2,357.94