Finding the Third Proportional to 3,662.72 and 5,259.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,662.72 : 5,259.94 = 5,259.94 : x
2. Step 2: Convert to fraction form
   3,662.72/5,259.94 = 5,259.94/x
3. Step 3: Cross multiply
   3,662.72x = 5,259.94 × 5,259.94
4. Step 4: Simplify right side
   3,662.72x = 27,666,942.50
5. Step 5: Solve for x
   x = 27,666,942.50/3,662.72
6. Step 6: Final answer
   x = 7,553.66