Finding the Third Proportional to 2,395.50 and 4,215

Step by Step Solution

1. Step 1: Write the proportion equation
   2,395.50 : 4,215 = 4,215 : x
2. Step 2: Convert to fraction form
   2,395.50/4,215 = 4,215/x
3. Step 3: Cross multiply
   2,395.50x = 4,215 × 4,215
4. Step 4: Simplify right side
   2,395.50x = 17,766,225
5. Step 5: Solve for x
   x = 17,766,225/2,395.50
6. Step 6: Final answer
   x = 7,416.50