Finding the Third Proportional to 3,433.50 and 4,590.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,433.50 : 4,590.56 = 4,590.56 : x
2. Step 2: Convert to fraction form
   3,433.50/4,590.56 = 4,590.56/x
3. Step 3: Cross multiply
   3,433.50x = 4,590.56 × 4,590.56
4. Step 4: Simplify right side
   3,433.50x = 21,073,264.07
5. Step 5: Solve for x
   x = 21,073,264.07/3,433.50
6. Step 6: Final answer
   x = 6,137.55