Finding the Third Proportional to 3,720 and 5,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,720 : 5,329.50 = 5,329.50 : x
2. Step 2: Convert to fraction form
   3,720/5,329.50 = 5,329.50/x
3. Step 3: Cross multiply
   3,720x = 5,329.50 × 5,329.50
4. Step 4: Simplify right side
   3,720x = 28,403,570.25
5. Step 5: Solve for x
   x = 28,403,570.25/3,720
6. Step 6: Final answer
   x = 7,635.37