Finding the Third Proportional to 1,962.75 and 4,209.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,962.75 : 4,209.38 = 4,209.38 : x
2. Step 2: Convert to fraction form
   1,962.75/4,209.38 = 4,209.38/x
3. Step 3: Cross multiply
   1,962.75x = 4,209.38 × 4,209.38
4. Step 4: Simplify right side
   1,962.75x = 17,718,837.89
5. Step 5: Solve for x
   x = 17,718,837.89/1,962.75
6. Step 6: Final answer
   x = 9,027.56