Finding the Third Proportional to 19,736 and 31,404

Step by Step Solution

1. Step 1: Write the proportion equation
   19,736 : 31,404 = 31,404 : x
2. Step 2: Convert to fraction form
   19,736/31,404 = 31,404/x
3. Step 3: Cross multiply
   19,736x = 31,404 × 31,404
4. Step 4: Simplify right side
   19,736x = 986,211,216
5. Step 5: Solve for x
   x = 986,211,216/19,736
6. Step 6: Final answer
   x = 49,970.17