Finding the Third Proportional to 786.94 and 954.56

Step by Step Solution

1. Step 1: Write the proportion equation
   786.94 : 954.56 = 954.56 : x
2. Step 2: Convert to fraction form
   786.94/954.56 = 954.56/x
3. Step 3: Cross multiply
   786.94x = 954.56 × 954.56
4. Step 4: Simplify right side
   786.94x = 911,189.57
5. Step 5: Solve for x
   x = 911,189.57/786.94
6. Step 6: Final answer
   x = 1,157.89