Finding the Third Proportional to 3,748 and 5,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,748 : 5,500.50 = 5,500.50 : x
2. Step 2: Convert to fraction form
   3,748/5,500.50 = 5,500.50/x
3. Step 3: Cross multiply
   3,748x = 5,500.50 × 5,500.50
4. Step 4: Simplify right side
   3,748x = 30,255,500.25
5. Step 5: Solve for x
   x = 30,255,500.25/3,748
6. Step 6: Final answer
   x = 8,072.44