Finding the Third Proportional to 776.50 and 1,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   776.50 : 1,494.50 = 1,494.50 : x
2. Step 2: Convert to fraction form
   776.50/1,494.50 = 1,494.50/x
3. Step 3: Cross multiply
   776.50x = 1,494.50 × 1,494.50
4. Step 4: Simplify right side
   776.50x = 2,233,530.25
5. Step 5: Solve for x
   x = 2,233,530.25/776.50
6. Step 6: Final answer
   x = 2,876.41