Finding the Third Proportional to 3,631.50 and 7,922.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,631.50 : 7,922.25 = 7,922.25 : x
2. Step 2: Convert to fraction form
   3,631.50/7,922.25 = 7,922.25/x
3. Step 3: Cross multiply
   3,631.50x = 7,922.25 × 7,922.25
4. Step 4: Simplify right side
   3,631.50x = 62,762,045.06
5. Step 5: Solve for x
   x = 62,762,045.06/3,631.50
6. Step 6: Final answer
   x = 17,282.68