Finding the Third Proportional to 19,696 and 31,320

Step by Step Solution

1. Step 1: Write the proportion equation
   19,696 : 31,320 = 31,320 : x
2. Step 2: Convert to fraction form
   19,696/31,320 = 31,320/x
3. Step 3: Cross multiply
   19,696x = 31,320 × 31,320
4. Step 4: Simplify right side
   19,696x = 980,942,400
5. Step 5: Solve for x
   x = 980,942,400/19,696
6. Step 6: Final answer
   x = 49,804.14