Finding the Third Proportional to 2,470.50 and 3,950.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.50 : 3,950.25 = 3,950.25 : x
2. Step 2: Convert to fraction form
   2,470.50/3,950.25 = 3,950.25/x
3. Step 3: Cross multiply
   2,470.50x = 3,950.25 × 3,950.25
4. Step 4: Simplify right side
   2,470.50x = 15,604,475.06
5. Step 5: Solve for x
   x = 15,604,475.06/2,470.50
6. Step 6: Final answer
   x = 6,316.32