Finding the Third Proportional to 1,644.50 and 3,522.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644.50 : 3,522.25 = 3,522.25 : x
2. Step 2: Convert to fraction form
   1,644.50/3,522.25 = 3,522.25/x
3. Step 3: Cross multiply
   1,644.50x = 3,522.25 × 3,522.25
4. Step 4: Simplify right side
   1,644.50x = 12,406,245.06
5. Step 5: Solve for x
   x = 12,406,245.06/1,644.50
6. Step 6: Final answer
   x = 7,544.08