Finding the Third Proportional to 4,314.75 and 7,262.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,314.75 : 7,262.25 = 7,262.25 : x
2. Step 2: Convert to fraction form
   4,314.75/7,262.25 = 7,262.25/x
3. Step 3: Cross multiply
   4,314.75x = 7,262.25 × 7,262.25
4. Step 4: Simplify right side
   4,314.75x = 52,740,275.06
5. Step 5: Solve for x
   x = 52,740,275.06/4,314.75
6. Step 6: Final answer
   x = 12,223.25