Finding the Third Proportional to 46,238 and 71,733

Step by Step Solution

1. Step 1: Write the proportion equation
   46,238 : 71,733 = 71,733 : x
2. Step 2: Convert to fraction form
   46,238/71,733 = 71,733/x
3. Step 3: Cross multiply
   46,238x = 71,733 × 71,733
4. Step 4: Simplify right side
   46,238x = 5,145,623,289
5. Step 5: Solve for x
   x = 5,145,623,289/46,238
6. Step 6: Final answer
   x = 111,285.59