Finding the Third Proportional to 46,306 and 71,747

Step by Step Solution

1. Step 1: Write the proportion equation
   46,306 : 71,747 = 71,747 : x
2. Step 2: Convert to fraction form
   46,306/71,747 = 71,747/x
3. Step 3: Cross multiply
   46,306x = 71,747 × 71,747
4. Step 4: Simplify right side
   46,306x = 5,147,632,009
5. Step 5: Solve for x
   x = 5,147,632,009/46,306
6. Step 6: Final answer
   x = 111,165.55