Finding the Third Proportional to 5,955.75 and 7,617.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,955.75 : 7,617.38 = 7,617.38 : x
2. Step 2: Convert to fraction form
   5,955.75/7,617.38 = 7,617.38/x
3. Step 3: Cross multiply
   5,955.75x = 7,617.38 × 7,617.38
4. Step 4: Simplify right side
   5,955.75x = 58,024,401.89
5. Step 5: Solve for x
   x = 58,024,401.89/5,955.75
6. Step 6: Final answer
   x = 9,742.59