Finding the Third Proportional to 1,276.13 and 1,866.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,276.13 : 1,866.56 = 1,866.56 : x
2. Step 2: Convert to fraction form
   1,276.13/1,866.56 = 1,866.56/x
3. Step 3: Cross multiply
   1,276.13x = 1,866.56 × 1,866.56
4. Step 4: Simplify right side
   1,276.13x = 3,484,055.57
5. Step 5: Solve for x
   x = 3,484,055.57/1,276.13
6. Step 6: Final answer
   x = 2,730.18