Finding the Third Proportional to 590.50 and 825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   590.50 : 825.50 = 825.50 : x
2. Step 2: Convert to fraction form
   590.50/825.50 = 825.50/x
3. Step 3: Cross multiply
   590.50x = 825.50 × 825.50
4. Step 4: Simplify right side
   590.50x = 681,450.25
5. Step 5: Solve for x
   x = 681,450.25/590.50
6. Step 6: Final answer
   x = 1,154.02