Finding the Third Proportional to 5,693.41 and 7,660.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,693.41 : 7,660.20 = 7,660.20 : x
2. Step 2: Convert to fraction form
   5,693.41/7,660.20 = 7,660.20/x
3. Step 3: Cross multiply
   5,693.41x = 7,660.20 × 7,660.20
4. Step 4: Simplify right side
   5,693.41x = 58,678,592.23
5. Step 5: Solve for x
   x = 58,678,592.23/5,693.41
6. Step 6: Final answer
   x = 10,306.40