Finding the Third Proportional to 3,724.50 and 5,219.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,724.50 : 5,219.63 = 5,219.63 : x
2. Step 2: Convert to fraction form
   3,724.50/5,219.63 = 5,219.63/x
3. Step 3: Cross multiply
   3,724.50x = 5,219.63 × 5,219.63
4. Step 4: Simplify right side
   3,724.50x = 27,244,485.14
5. Step 5: Solve for x
   x = 27,244,485.14/3,724.50
6. Step 6: Final answer
   x = 7,314.94