Finding the Third Proportional to 3,723 and 5,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,723 : 5,913.50 = 5,913.50 : x
2. Step 2: Convert to fraction form
   3,723/5,913.50 = 5,913.50/x
3. Step 3: Cross multiply
   3,723x = 5,913.50 × 5,913.50
4. Step 4: Simplify right side
   3,723x = 34,969,482.25
5. Step 5: Solve for x
   x = 34,969,482.25/3,723
6. Step 6: Final answer
   x = 9,392.82