Finding the Third Proportional to 5,019 and 7,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,019 : 7,384.50 = 7,384.50 : x
2. Step 2: Convert to fraction form
   5,019/7,384.50 = 7,384.50/x
3. Step 3: Cross multiply
   5,019x = 7,384.50 × 7,384.50
4. Step 4: Simplify right side
   5,019x = 54,530,840.25
5. Step 5: Solve for x
   x = 54,530,840.25/5,019
6. Step 6: Final answer
   x = 10,864.88