Finding the Third Proportional to 1,076.41 and 1,460.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.41 : 1,460.85 = 1,460.85 : x
2. Step 2: Convert to fraction form
   1,076.41/1,460.85 = 1,460.85/x
3. Step 3: Cross multiply
   1,076.41x = 1,460.85 × 1,460.85
4. Step 4: Simplify right side
   1,076.41x = 2,134,075.87
5. Step 5: Solve for x
   x = 2,134,075.87/1,076.41
6. Step 6: Final answer
   x = 1,982.58