Finding the Third Proportional to 3,666.09 and 5,672.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,666.09 : 5,672.53 = 5,672.53 : x
2. Step 2: Convert to fraction form
   3,666.09/5,672.53 = 5,672.53/x
3. Step 3: Cross multiply
   3,666.09x = 5,672.53 × 5,672.53
4. Step 4: Simplify right side
   3,666.09x = 32,177,610.78
5. Step 5: Solve for x
   x = 32,177,610.78/3,666.09
6. Step 6: Final answer
   x = 8,777.08