Finding the Third Proportional to 5,119.50 and 5,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,119.50 : 5,533.50 = 5,533.50 : x
2. Step 2: Convert to fraction form
   5,119.50/5,533.50 = 5,533.50/x
3. Step 3: Cross multiply
   5,119.50x = 5,533.50 × 5,533.50
4. Step 4: Simplify right side
   5,119.50x = 30,619,622.25
5. Step 5: Solve for x
   x = 30,619,622.25/5,119.50
6. Step 6: Final answer
   x = 5,980.98