Finding the Third Proportional to 1,021.50 and 1,590.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021.50 : 1,590.75 = 1,590.75 : x
2. Step 2: Convert to fraction form
   1,021.50/1,590.75 = 1,590.75/x
3. Step 3: Cross multiply
   1,021.50x = 1,590.75 × 1,590.75
4. Step 4: Simplify right side
   1,021.50x = 2,530,485.56
5. Step 5: Solve for x
   x = 2,530,485.56/1,021.50
6. Step 6: Final answer
   x = 2,477.23