Finding the Third Proportional to 2,442 and 3,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,442 : 3,724.50 = 3,724.50 : x
2. Step 2: Convert to fraction form
   2,442/3,724.50 = 3,724.50/x
3. Step 3: Cross multiply
   2,442x = 3,724.50 × 3,724.50
4. Step 4: Simplify right side
   2,442x = 13,871,900.25
5. Step 5: Solve for x
   x = 13,871,900.25/2,442
6. Step 6: Final answer
   x = 5,680.55