Finding the Third Proportional to 31,144 and 49,320

Step by Step Solution

1. Step 1: Write the proportion equation
   31,144 : 49,320 = 49,320 : x
2. Step 2: Convert to fraction form
   31,144/49,320 = 49,320/x
3. Step 3: Cross multiply
   31,144x = 49,320 × 49,320
4. Step 4: Simplify right side
   31,144x = 2,432,462,400
5. Step 5: Solve for x
   x = 2,432,462,400/31,144
6. Step 6: Final answer
   x = 78,103.72