Finding the Third Proportional to 45,673 and 71,665

Step by Step Solution

1. Step 1: Write the proportion equation
   45,673 : 71,665 = 71,665 : x
2. Step 2: Convert to fraction form
   45,673/71,665 = 71,665/x
3. Step 3: Cross multiply
   45,673x = 71,665 × 71,665
4. Step 4: Simplify right side
   45,673x = 5,135,872,225
5. Step 5: Solve for x
   x = 5,135,872,225/45,673
6. Step 6: Final answer
   x = 112,448.76