Finding the Third Proportional to 3,741 and 5,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,741 : 5,020.50 = 5,020.50 : x
2. Step 2: Convert to fraction form
   3,741/5,020.50 = 5,020.50/x
3. Step 3: Cross multiply
   3,741x = 5,020.50 × 5,020.50
4. Step 4: Simplify right side
   3,741x = 25,205,420.25
5. Step 5: Solve for x
   x = 25,205,420.25/3,741
6. Step 6: Final answer
   x = 6,737.62