Finding the Third Proportional to 3,457.38 and 5,163.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,457.38 : 5,163.50 = 5,163.50 : x
2. Step 2: Convert to fraction form
   3,457.38/5,163.50 = 5,163.50/x
3. Step 3: Cross multiply
   3,457.38x = 5,163.50 × 5,163.50
4. Step 4: Simplify right side
   3,457.38x = 26,661,732.25
5. Step 5: Solve for x
   x = 26,661,732.25/3,457.38
6. Step 6: Final answer
   x = 7,711.55