Finding the Third Proportional to 759.94 and 1,086.69

Step by Step Solution

1. Step 1: Write the proportion equation
   759.94 : 1,086.69 = 1,086.69 : x
2. Step 2: Convert to fraction form
   759.94/1,086.69 = 1,086.69/x
3. Step 3: Cross multiply
   759.94x = 1,086.69 × 1,086.69
4. Step 4: Simplify right side
   759.94x = 1,180,889.72
5. Step 5: Solve for x
   x = 1,180,889.72/759.94
6. Step 6: Final answer
   x = 1,553.93