Finding the Third Proportional to 1,275.75 and 1,878.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,275.75 : 1,878.82 = 1,878.82 : x
2. Step 2: Convert to fraction form
   1,275.75/1,878.82 = 1,878.82/x
3. Step 3: Cross multiply
   1,275.75x = 1,878.82 × 1,878.82
4. Step 4: Simplify right side
   1,275.75x = 3,529,965.77
5. Step 5: Solve for x
   x = 3,529,965.77/1,275.75
6. Step 6: Final answer
   x = 2,766.97