Finding the Third Proportional to 2,215.50 and 4,665

Step by Step Solution

1. Step 1: Write the proportion equation
   2,215.50 : 4,665 = 4,665 : x
2. Step 2: Convert to fraction form
   2,215.50/4,665 = 4,665/x
3. Step 3: Cross multiply
   2,215.50x = 4,665 × 4,665
4. Step 4: Simplify right side
   2,215.50x = 21,762,225
5. Step 5: Solve for x
   x = 21,762,225/2,215.50
6. Step 6: Final answer
   x = 9,822.71