Finding the Third Proportional to 1,144.69 and 2,465.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.69 : 2,465.72 = 2,465.72 : x
2. Step 2: Convert to fraction form
   1,144.69/2,465.72 = 2,465.72/x
3. Step 3: Cross multiply
   1,144.69x = 2,465.72 × 2,465.72
4. Step 4: Simplify right side
   1,144.69x = 6,079,768.95
5. Step 5: Solve for x
   x = 6,079,768.95/1,144.69
6. Step 6: Final answer
   x = 5,311.29