Finding the Third Proportional to 705.60 and 1,076.81

Step by Step Solution

1. Step 1: Write the proportion equation
   705.60 : 1,076.81 = 1,076.81 : x
2. Step 2: Convert to fraction form
   705.60/1,076.81 = 1,076.81/x
3. Step 3: Cross multiply
   705.60x = 1,076.81 × 1,076.81
4. Step 4: Simplify right side
   705.60x = 1,159,529.50
5. Step 5: Solve for x
   x = 1,159,529.50/705.60
6. Step 6: Final answer
   x = 1,643.33