Finding the Third Proportional to 14,578 and 31,388

Step by Step Solution

1. Step 1: Write the proportion equation
   14,578 : 31,388 = 31,388 : x
2. Step 2: Convert to fraction form
   14,578/31,388 = 31,388/x
3. Step 3: Cross multiply
   14,578x = 31,388 × 31,388
4. Step 4: Simplify right side
   14,578x = 985,206,544
5. Step 5: Solve for x
   x = 985,206,544/14,578
6. Step 6: Final answer
   x = 67,581.74