Finding the Third Proportional to 3,142.50 and 4,665

Step by Step Solution

1. Step 1: Write the proportion equation
   3,142.50 : 4,665 = 4,665 : x
2. Step 2: Convert to fraction form
   3,142.50/4,665 = 4,665/x
3. Step 3: Cross multiply
   3,142.50x = 4,665 × 4,665
4. Step 4: Simplify right side
   3,142.50x = 21,762,225
5. Step 5: Solve for x
   x = 21,762,225/3,142.50
6. Step 6: Final answer
   x = 6,925.13