Finding the Third Proportional to 31,190 and 49,578

Step by Step Solution

1. Step 1: Write the proportion equation
   31,190 : 49,578 = 49,578 : x
2. Step 2: Convert to fraction form
   31,190/49,578 = 49,578/x
3. Step 3: Cross multiply
   31,190x = 49,578 × 49,578
4. Step 4: Simplify right side
   31,190x = 2,457,978,084
5. Step 5: Solve for x
   x = 2,457,978,084/31,190
6. Step 6: Final answer
   x = 78,806.61