Finding the Third Proportional to 46,233 and 71,727

Step by Step Solution

1. Step 1: Write the proportion equation
   46,233 : 71,727 = 71,727 : x
2. Step 2: Convert to fraction form
   46,233/71,727 = 71,727/x
3. Step 3: Cross multiply
   46,233x = 71,727 × 71,727
4. Step 4: Simplify right side
   46,233x = 5,144,762,529
5. Step 5: Solve for x
   x = 5,144,762,529/46,233
6. Step 6: Final answer
   x = 111,279.01