Finding the Third Proportional to 2,962.50 and 4,321.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,962.50 : 4,321.88 = 4,321.88 : x
2. Step 2: Convert to fraction form
   2,962.50/4,321.88 = 4,321.88/x
3. Step 3: Cross multiply
   2,962.50x = 4,321.88 × 4,321.88
4. Step 4: Simplify right side
   2,962.50x = 18,678,603.52
5. Step 5: Solve for x
   x = 18,678,603.52/2,962.50
6. Step 6: Final answer
   x = 6,305.01