Finding the Third Proportional to 5,065.13 and 7,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,065.13 : 7,667.25 = 7,667.25 : x
2. Step 2: Convert to fraction form
   5,065.13/7,667.25 = 7,667.25/x
3. Step 3: Cross multiply
   5,065.13x = 7,667.25 × 7,667.25
4. Step 4: Simplify right side
   5,065.13x = 58,786,722.56
5. Step 5: Solve for x
   x = 58,786,722.56/5,065.13
6. Step 6: Final answer
   x = 11,606.17