Finding the Third Proportional to 1,013.77 and 1,480.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.77 : 1,480.78 = 1,480.78 : x
2. Step 2: Convert to fraction form
   1,013.77/1,480.78 = 1,480.78/x
3. Step 3: Cross multiply
   1,013.77x = 1,480.78 × 1,480.78
4. Step 4: Simplify right side
   1,013.77x = 2,192,713.11
5. Step 5: Solve for x
   x = 2,192,713.11/1,013.77
6. Step 6: Final answer
   x = 2,162.94