Finding the Third Proportional to 2,530.83 and 3,962.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.83 : 3,962.25 = 3,962.25 : x
2. Step 2: Convert to fraction form
   2,530.83/3,962.25 = 3,962.25/x
3. Step 3: Cross multiply
   2,530.83x = 3,962.25 × 3,962.25
4. Step 4: Simplify right side
   2,530.83x = 15,699,425.06
5. Step 5: Solve for x
   x = 15,699,425.06/2,530.83
6. Step 6: Final answer
   x = 6,203.28