Finding the Third Proportional to 1,141.45 and 1,546.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.45 : 1,546.80 = 1,546.80 : x
2. Step 2: Convert to fraction form
   1,141.45/1,546.80 = 1,546.80/x
3. Step 3: Cross multiply
   1,141.45x = 1,546.80 × 1,546.80
4. Step 4: Simplify right side
   1,141.45x = 2,392,604.74
5. Step 5: Solve for x
   x = 2,392,604.74/1,141.45
6. Step 6: Final answer
   x = 2,096.10