Finding the Third Proportional to 46,665 and 71,730

Step by Step Solution

1. Step 1: Write the proportion equation
   46,665 : 71,730 = 71,730 : x
2. Step 2: Convert to fraction form
   46,665/71,730 = 71,730/x
3. Step 3: Cross multiply
   46,665x = 71,730 × 71,730
4. Step 4: Simplify right side
   46,665x = 5,145,192,900
5. Step 5: Solve for x
   x = 5,145,192,900/46,665
6. Step 6: Final answer
   x = 110,258.07