Finding the Third Proportional to 2,065.50 and 4,590.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.50 : 4,590.75 = 4,590.75 : x
2. Step 2: Convert to fraction form
   2,065.50/4,590.75 = 4,590.75/x
3. Step 3: Cross multiply
   2,065.50x = 4,590.75 × 4,590.75
4. Step 4: Simplify right side
   2,065.50x = 21,074,985.56
5. Step 5: Solve for x
   x = 21,074,985.56/2,065.50
6. Step 6: Final answer
   x = 10,203.33