Finding the Third Proportional to 3,185.50 and 4,920.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,185.50 : 4,920.25 = 4,920.25 : x
2. Step 2: Convert to fraction form
   3,185.50/4,920.25 = 4,920.25/x
3. Step 3: Cross multiply
   3,185.50x = 4,920.25 × 4,920.25
4. Step 4: Simplify right side
   3,185.50x = 24,208,860.06
5. Step 5: Solve for x
   x = 24,208,860.06/3,185.50
6. Step 6: Final answer
   x = 7,599.70