Finding the Third Proportional to 2,304 and 2,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,304 : 2,776.50 = 2,776.50 : x
2. Step 2: Convert to fraction form
   2,304/2,776.50 = 2,776.50/x
3. Step 3: Cross multiply
   2,304x = 2,776.50 × 2,776.50
4. Step 4: Simplify right side
   2,304x = 7,708,952.25
5. Step 5: Solve for x
   x = 7,708,952.25/2,304
6. Step 6: Final answer
   x = 3,345.90