Finding the Third Proportional to 2,962.50 and 4,466.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,962.50 : 4,466.25 = 4,466.25 : x
2. Step 2: Convert to fraction form
   2,962.50/4,466.25 = 4,466.25/x
3. Step 3: Cross multiply
   2,962.50x = 4,466.25 × 4,466.25
4. Step 4: Simplify right side
   2,962.50x = 19,947,389.06
5. Step 5: Solve for x
   x = 19,947,389.06/2,962.50
6. Step 6: Final answer
   x = 6,733.30