Finding the Third Proportional to 3,262.78 and 4,962.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,262.78 : 4,962.52 = 4,962.52 : x
2. Step 2: Convert to fraction form
   3,262.78/4,962.52 = 4,962.52/x
3. Step 3: Cross multiply
   3,262.78x = 4,962.52 × 4,962.52
4. Step 4: Simplify right side
   3,262.78x = 24,626,561.33
5. Step 5: Solve for x
   x = 24,626,561.33/3,262.78
6. Step 6: Final answer
   x = 7,547.72