Finding the Third Proportional to 3,758 and 5,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758 : 5,615.50 = 5,615.50 : x
2. Step 2: Convert to fraction form
   3,758/5,615.50 = 5,615.50/x
3. Step 3: Cross multiply
   3,758x = 5,615.50 × 5,615.50
4. Step 4: Simplify right side
   3,758x = 31,533,840.25
5. Step 5: Solve for x
   x = 31,533,840.25/3,758
6. Step 6: Final answer
   x = 8,391.12