Finding the Third Proportional to 32,082 and 46,665

Step by Step Solution

1. Step 1: Write the proportion equation
   32,082 : 46,665 = 46,665 : x
2. Step 2: Convert to fraction form
   32,082/46,665 = 46,665/x
3. Step 3: Cross multiply
   32,082x = 46,665 × 46,665
4. Step 4: Simplify right side
   32,082x = 2,177,622,225
5. Step 5: Solve for x
   x = 2,177,622,225/32,082
6. Step 6: Final answer
   x = 67,876.76