Finding the Third Proportional to 4,119 and 5,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,119 : 5,560.50 = 5,560.50 : x
2. Step 2: Convert to fraction form
   4,119/5,560.50 = 5,560.50/x
3. Step 3: Cross multiply
   4,119x = 5,560.50 × 5,560.50
4. Step 4: Simplify right side
   4,119x = 30,919,160.25
5. Step 5: Solve for x
   x = 30,919,160.25/4,119
6. Step 6: Final answer
   x = 7,506.47