Finding the Third Proportional to 766.50 and 1,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   766.50 : 1,378.50 = 1,378.50 : x
2. Step 2: Convert to fraction form
   766.50/1,378.50 = 1,378.50/x
3. Step 3: Cross multiply
   766.50x = 1,378.50 × 1,378.50
4. Step 4: Simplify right side
   766.50x = 1,900,262.25
5. Step 5: Solve for x
   x = 1,900,262.25/766.50
6. Step 6: Final answer
   x = 2,479.14