Finding the Third Proportional to 1,027.41 and 1,677.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.41 : 1,677.47 = 1,677.47 : x
2. Step 2: Convert to fraction form
   1,027.41/1,677.47 = 1,677.47/x
3. Step 3: Cross multiply
   1,027.41x = 1,677.47 × 1,677.47
4. Step 4: Simplify right side
   1,027.41x = 2,813,901.41
5. Step 5: Solve for x
   x = 2,813,901.41/1,027.41
6. Step 6: Final answer
   x = 2,738.84