Finding the Third Proportional to 1,760.80 and 4,094.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,760.80 : 4,094.46 = 4,094.46 : x
2. Step 2: Convert to fraction form
   1,760.80/4,094.46 = 4,094.46/x
3. Step 3: Cross multiply
   1,760.80x = 4,094.46 × 4,094.46
4. Step 4: Simplify right side
   1,760.80x = 16,764,562.39
5. Step 5: Solve for x
   x = 16,764,562.39/1,760.80
6. Step 6: Final answer
   x = 9,520.99