Finding the Third Proportional to 766.50 and 1,077

Step by Step Solution

1. Step 1: Write the proportion equation
   766.50 : 1,077 = 1,077 : x
2. Step 2: Convert to fraction form
   766.50/1,077 = 1,077/x
3. Step 3: Cross multiply
   766.50x = 1,077 × 1,077
4. Step 4: Simplify right side
   766.50x = 1,159,929
5. Step 5: Solve for x
   x = 1,159,929/766.50
6. Step 6: Final answer
   x = 1,513.28