Finding the Third Proportional to 3,701.53 and 5,662.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,701.53 : 5,662.41 = 5,662.41 : x
2. Step 2: Convert to fraction form
   3,701.53/5,662.41 = 5,662.41/x
3. Step 3: Cross multiply
   3,701.53x = 5,662.41 × 5,662.41
4. Step 4: Simplify right side
   3,701.53x = 32,062,844.54
5. Step 5: Solve for x
   x = 32,062,844.54/3,701.53
6. Step 6: Final answer
   x = 8,662.05