Finding the Third Proportional to 5,729.91 and 7,667.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,729.91 : 7,667.81 = 7,667.81 : x
2. Step 2: Convert to fraction form
   5,729.91/7,667.81 = 7,667.81/x
3. Step 3: Cross multiply
   5,729.91x = 7,667.81 × 7,667.81
4. Step 4: Simplify right side
   5,729.91x = 58,795,348.54
5. Step 5: Solve for x
   x = 58,795,348.54/5,729.91
6. Step 6: Final answer
   x = 10,261.14