Finding the Third Proportional to 3,433.50 and 4,177.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,433.50 : 4,177.69 = 4,177.69 : x
2. Step 2: Convert to fraction form
   3,433.50/4,177.69 = 4,177.69/x
3. Step 3: Cross multiply
   3,433.50x = 4,177.69 × 4,177.69
4. Step 4: Simplify right side
   3,433.50x = 17,453,072.85
5. Step 5: Solve for x
   x = 17,453,072.85/3,433.50
6. Step 6: Final answer
   x = 5,083.17