Finding the Third Proportional to 1,277.65 and 2,464.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277.65 : 2,464.17 = 2,464.17 : x
2. Step 2: Convert to fraction form
   1,277.65/2,464.17 = 2,464.17/x
3. Step 3: Cross multiply
   1,277.65x = 2,464.17 × 2,464.17
4. Step 4: Simplify right side
   1,277.65x = 6,072,143.03
5. Step 5: Solve for x
   x = 6,072,143.03/1,277.65
6. Step 6: Final answer
   x = 4,752.59