Finding the Third Proportional to 3,721.50 and 5,630.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,721.50 : 5,630.25 = 5,630.25 : x
2. Step 2: Convert to fraction form
   3,721.50/5,630.25 = 5,630.25/x
3. Step 3: Cross multiply
   3,721.50x = 5,630.25 × 5,630.25
4. Step 4: Simplify right side
   3,721.50x = 31,699,715.06
5. Step 5: Solve for x
   x = 31,699,715.06/3,721.50
6. Step 6: Final answer
   x = 8,517.99